[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.16,0:00:01.95,Default,,0000,0000,0000,,It never hurts to get a lot of practice.
Dialogue: 0,0:00:01.96,0:00:02.84,Default,,0000,0000,0000,,So, in this video I'm just going to do
Dialogue: 0,0:00:02.84,0:00:07.54,Default,,0000,0000,0000,,a bunch more of essentially what we call long division problems.
Dialogue: 0,0:00:07.54,0:00:17.04,Default,,0000,0000,0000,,And so if you have four divided into two thousand two hundred ninety-two.
Dialogue: 0,0:00:17.05,0:00:20.28,Default,,0000,0000,0000,,And I don't know exactly why they call it long division,
Dialogue: 0,0:00:20.28,0:00:23.58,Default,,0000,0000,0000,,and we saw this in the last video a little bit.
Dialogue: 0,0:00:23.58,0:00:25.55,Default,,0000,0000,0000,,I didn't call it long division then,
Dialogue: 0,0:00:25.55,0:00:28.49,Default,,0000,0000,0000,,but I think the reason why is it takes you a long time
Dialogue: 0,0:00:28.49,0:00:31.89,Default,,0000,0000,0000,,or it takes a long piece of your paper.
Dialogue: 0,0:00:31.89,0:00:35.10,Default,,0000,0000,0000,,As you go along, you kind of have this thing,
Dialogue: 0,0:00:35.10,0:00:37.27,Default,,0000,0000,0000,,this long tail that develops on the problem.
Dialogue: 0,0:00:37.28,0:00:39.66,Default,,0000,0000,0000,,So all of those are, at least, reasons in my head
Dialogue: 0,0:00:39.66,0:00:41.06,Default,,0000,0000,0000,,why it's called long division.
Dialogue: 0,0:00:41.06,0:00:44.59,Default,,0000,0000,0000,,But we saw in the last video there's a way to tackle any division problem
Dialogue: 0,0:00:44.59,0:00:46.75,Default,,0000,0000,0000,,while just knowing your multiplication tables
Dialogue: 0,0:00:46.75,0:00:49.81,Default,,0000,0000,0000,,up to maybe ten times ten or twelve times twelve.
Dialogue: 0,0:00:49.82,0:00:52.03,Default,,0000,0000,0000,,But just as a bit of review, this is the same thing
Dialogue: 0,0:00:52.03,0:00:57.85,Default,,0000,0000,0000,,as two thousand two hundred ninety-two divided by four.
Dialogue: 0,0:00:57.85,0:00:59.37,Default,,0000,0000,0000,,And it's actually the same thing--
Dialogue: 0,0:00:59.37,0:01:01.38,Default,,0000,0000,0000,,you probably haven't seen this notation before--
Dialogue: 0,0:01:01.38,0:01:06.64,Default,,0000,0000,0000,,as two thousand two hundred ninety-two divided by four.
Dialogue: 0,0:01:06.64,0:01:09.01,Default,,0000,0000,0000,,These-- This, this, and this--
Dialogue: 0,0:01:09.01,0:01:12.78,Default,,0000,0000,0000,,are all equivalent statements on some level.
Dialogue: 0,0:01:12.79,0:01:14.93,Default,,0000,0000,0000,,And you could say, hey Sal, that looks like a fraction.
Dialogue: 0,0:01:14.93,0:01:17.04,Default,,0000,0000,0000,,In case you have seen fractions already.
Dialogue: 0,0:01:17.04,0:01:18.55,Default,,0000,0000,0000,,And that is exactly what it is.
Dialogue: 0,0:01:18.56,0:01:20.06,Default,,0000,0000,0000,,It is a fraction.
Dialogue: 0,0:01:20.06,0:01:21.86,Default,,0000,0000,0000,,But anyway, I'll just focus on this format
Dialogue: 0,0:01:21.86,0:01:26.87,Default,,0000,0000,0000,,and in future videos we'll think about other ways to represent division.
Dialogue: 0,0:01:26.87,0:01:28.46,Default,,0000,0000,0000,,So let's do this problem.
Dialogue: 0,0:01:28.46,0:01:31.21,Default,,0000,0000,0000,,So four goes into two how many times?
Dialogue: 0,0:01:31.21,0:01:34.58,Default,,0000,0000,0000,,It goes into two no times, so let's move on to--
Dialogue: 0,0:01:34.59,0:01:35.32,Default,,0000,0000,0000,,let me switch colors--
Dialogue: 0,0:01:35.32,0:01:37.25,Default,,0000,0000,0000,,Let's move on to the twenty-two.
Dialogue: 0,0:01:37.26,0:01:40.10,Default,,0000,0000,0000,,Four goes into twenty-two how many times?
Dialogue: 0,0:01:40.10,0:01:40.38,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:01:40.39,0:01:45.14,Default,,0000,0000,0000,,Four times five is equal to twenty.
Dialogue: 0,0:01:45.14,0:01:49.59,Default,,0000,0000,0000,,Four times six is equal to twenty-four.
Dialogue: 0,0:01:49.59,0:01:51.43,Default,,0000,0000,0000,,So six is too much.
Dialogue: 0,0:01:51.43,0:01:55.40,Default,,0000,0000,0000,,So four goes into twenty-two five times.
Dialogue: 0,0:01:55.40,0:01:58.05,Default,,0000,0000,0000,,Five times four is twenty.
Dialogue: 0,0:01:58.06,0:01:59.91,Default,,0000,0000,0000,,There's going to be a little bit of a leftover,
Dialogue: 0,0:01:59.91,0:02:02.17,Default,,0000,0000,0000,,And then we subtract.
Dialogue: 0,0:02:02.17,0:02:03.84,Default,,0000,0000,0000,,Twenty-two minus twenty?
Dialogue: 0,0:02:03.84,0:02:05.69,Default,,0000,0000,0000,,Well that's just two.
Dialogue: 0,0:02:05.69,0:02:08.71,Default,,0000,0000,0000,,And then you bring down this nine.
Dialogue: 0,0:02:08.72,0:02:11.15,Default,,0000,0000,0000,,And you saw in the last video exactly what this means, right?
Dialogue: 0,0:02:11.15,0:02:13.71,Default,,0000,0000,0000,,When you wrote this five up here, notice you wrote hundreds place.
Dialogue: 0,0:02:13.71,0:02:15.60,Default,,0000,0000,0000,,So this is really a five hundred.
Dialogue: 0,0:02:15.60,0:02:17.86,Default,,0000,0000,0000,,But in this video I'm just going to focus more on the process,
Dialogue: 0,0:02:17.86,0:02:19.86,Default,,0000,0000,0000,,and you can think more about what it actually means
Dialogue: 0,0:02:19.87,0:02:21.65,Default,,0000,0000,0000,,in terms of where I'm writing the numbers.
Dialogue: 0,0:02:21.65,0:02:24.36,Default,,0000,0000,0000,,But I think the process is going to be crystal clear,
Dialogue: 0,0:02:24.36,0:02:25.78,Default,,0000,0000,0000,,hopefully, by the end of this video.
Dialogue: 0,0:02:25.78,0:02:27.03,Default,,0000,0000,0000,,So we brought down the nine.
Dialogue: 0,0:02:27.03,0:02:29.96,Default,,0000,0000,0000,,Four goes into twenty-nine how many times?
Dialogue: 0,0:02:29.97,0:02:31.37,Default,,0000,0000,0000,,It goes into it at least six times.
Dialogue: 0,0:02:31.38,0:02:32.74,Default,,0000,0000,0000,,What's four times seven?
Dialogue: 0,0:02:32.75,0:02:34.84,Default,,0000,0000,0000,,Four times seven is twenty-eight.
Dialogue: 0,0:02:34.84,0:02:36.61,Default,,0000,0000,0000,,So it goes into it at least seven times.
Dialogue: 0,0:02:36.61,0:02:38.76,Default,,0000,0000,0000,,What's four times eight?
Dialogue: 0,0:02:38.77,0:02:41.77,Default,,0000,0000,0000,,Four times eight is thirty-two, so it can't go into it eight times.
Dialogue: 0,0:02:41.77,0:02:43.21,Default,,0000,0000,0000,,So it's going to go into it seven.
Dialogue: 0,0:02:43.21,0:02:46.39,Default,,0000,0000,0000,,Four goes into twenty-nine seven times.
Dialogue: 0,0:02:46.40,0:02:49.70,Default,,0000,0000,0000,,Seven times four is twenty-eight.
Dialogue: 0,0:02:49.71,0:02:51.68,Default,,0000,0000,0000,,Twenty-nine minus twenty-eight,
Dialogue: 0,0:02:51.68,0:02:56.37,Default,,0000,0000,0000,,to get our remainder for this step in the problem, is one.
Dialogue: 0,0:02:56.37,0:02:59.52,Default,,0000,0000,0000,,And now we're going to bring down this two.
Dialogue: 0,0:02:59.53,0:03:03.76,Default,,0000,0000,0000,,We're going to bring it down and you get a twelve.
Dialogue: 0,0:03:03.77,0:03:04.75,Default,,0000,0000,0000,,Four goes into twelve?
Dialogue: 0,0:03:04.75,0:03:05.17,Default,,0000,0000,0000,,That's easy.
Dialogue: 0,0:03:05.18,0:03:06.68,Default,,0000,0000,0000,,Four times three is twelve.
Dialogue: 0,0:03:06.68,0:03:09.08,Default,,0000,0000,0000,,Four goes into twelve three times.
Dialogue: 0,0:03:09.08,0:03:11.39,Default,,0000,0000,0000,,Three times four is twelve.
Dialogue: 0,0:03:11.40,0:03:13.36,Default,,0000,0000,0000,,Twelve minus twelve is zero.
Dialogue: 0,0:03:13.36,0:03:14.73,Default,,0000,0000,0000,,We have no remainder.
Dialogue: 0,0:03:14.74,0:03:20.39,Default,,0000,0000,0000,,So four goes into two thousand two hundred ninety-two exactly five hundred seventy-three times.
Dialogue: 0,0:03:20.40,0:03:26.50,Default,,0000,0000,0000,,So this two thousand two hundred ninety-two divided by four we can say is equal to five hundred seventy-three.
Dialogue: 0,0:03:26.50,0:03:32.24,Default,,0000,0000,0000,,Or we could say that this thing right here is equal to five hundred and seventy-three.
Dialogue: 0,0:03:32.25,0:03:34.68,Default,,0000,0000,0000,,Let's do a couple of more.
Dialogue: 0,0:03:34.68,0:03:39.08,Default,,0000,0000,0000,,Let's do a few more problems.
Dialogue: 0,0:03:39.09,0:03:40.96,Default,,0000,0000,0000,,So I'll do that red color.
Dialogue: 0,0:03:40.96,0:03:50.80,Default,,0000,0000,0000,,Let's say we had seven going into six thousand four hundred seventy-five.
Dialogue: 0,0:03:50.81,0:03:52.20,Default,,0000,0000,0000,,Maybe it's called long division
Dialogue: 0,0:03:52.20,0:03:54.35,Default,,0000,0000,0000,,because you write it nice and long up here and you have this line.
Dialogue: 0,0:03:54.36,0:03:55.61,Default,,0000,0000,0000,,I don't know.
Dialogue: 0,0:03:55.61,0:03:58.16,Default,,0000,0000,0000,,There's multiple reasons why it could be called long division.
Dialogue: 0,0:03:58.16,0:04:00.76,Default,,0000,0000,0000,,So you say seven goes into six zero times.
Dialogue: 0,0:04:00.77,0:04:03.66,Default,,0000,0000,0000,,So we need to keep moving forward.
Dialogue: 0,0:04:03.66,0:04:06.05,Default,,0000,0000,0000,,So then we go to sixty-four.
Dialogue: 0,0:04:06.06,0:04:09.16,Default,,0000,0000,0000,,Seven goes into sixty-four how many times?
Dialogue: 0,0:04:09.16,0:04:11.04,Default,,0000,0000,0000,,Let's see.
Dialogue: 0,0:04:11.05,0:04:15.30,Default,,0000,0000,0000,,Seven times seven is?
Dialogue: 0,0:04:15.30,0:04:16.80,Default,,0000,0000,0000,,Well, that's way too small.
Dialogue: 0,0:04:16.80,0:04:18.06,Default,,0000,0000,0000,,Let me think about it a little bit.
Dialogue: 0,0:04:18.06,0:04:20.61,Default,,0000,0000,0000,,Well seven times nine is sixty-three.
Dialogue: 0,0:04:20.62,0:04:21.39,Default,,0000,0000,0000,,That's pretty close.
Dialogue: 0,0:04:21.39,0:04:23.35,Default,,0000,0000,0000,,And then seven times ten is going to be too big.
Dialogue: 0,0:04:23.36,0:04:25.13,Default,,0000,0000,0000,,Seven times ten is seventy.
Dialogue: 0,0:04:25.13,0:04:25.98,Default,,0000,0000,0000,,So that's too big.
Dialogue: 0,0:04:25.98,0:04:29.68,Default,,0000,0000,0000,,So seven goes into sixty-four nine times.
Dialogue: 0,0:04:29.71,0:04:32.68,Default,,0000,0000,0000,,Nine times seven is sixty-three.
Dialogue: 0,0:04:32.69,0:04:38.04,Default,,0000,0000,0000,,Sixty-four minus sixty-three, to get our remainder at this stage, is one.
Dialogue: 0,0:04:38.05,0:04:41.23,Default,,0000,0000,0000,,Bring down the seven.
Dialogue: 0,0:04:41.24,0:04:43.11,Default,,0000,0000,0000,,Seven goes into seventeen how many times?
Dialogue: 0,0:04:43.12,0:04:45.24,Default,,0000,0000,0000,,Well, seven times two is fourteen.
Dialogue: 0,0:04:45.24,0:04:47.00,Default,,0000,0000,0000,,And then seven times three is twenty-one.
Dialogue: 0,0:04:47.00,0:04:48.59,Default,,0000,0000,0000,,So three is too big.
Dialogue: 0,0:04:48.60,0:04:51.49,Default,,0000,0000,0000,,So seven goes into seventeen two times.
Dialogue: 0,0:04:51.50,0:04:54.35,Default,,0000,0000,0000,,Two times seven is fourteen.
Dialogue: 0,0:04:54.35,0:04:57.61,Default,,0000,0000,0000,,Seventeen minus fourteen is three.
Dialogue: 0,0:04:57.62,0:05:03.53,Default,,0000,0000,0000,,And now we bring down the five.
Dialogue: 0,0:05:03.53,0:05:05.34,Default,,0000,0000,0000,,And seven goes into thirty-five--
Dialogue: 0,0:05:05.35,0:05:07.81,Default,,0000,0000,0000,,That's in our seven multiplication tables-- five times.
Dialogue: 0,0:05:07.81,0:05:14.09,Default,,0000,0000,0000,,Five times seven is thirty-five.
Dialogue: 0,0:05:14.09,0:05:15.46,Default,,0000,0000,0000,,And there you go.
Dialogue: 0,0:05:15.46,0:05:17.99,Default,,0000,0000,0000,,So the remainder is zero.
Dialogue: 0,0:05:17.99,0:05:20.12,Default,,0000,0000,0000,,So all the examples I did so far had no remainders.
Dialogue: 0,0:05:20.12,0:05:22.23,Default,,0000,0000,0000,,Let's do one that maybe might have a remainder.
Dialogue: 0,0:05:22.24,0:05:23.69,Default,,0000,0000,0000,,And to ensure it has a remainder,
Dialogue: 0,0:05:23.69,0:05:24.86,Default,,0000,0000,0000,,I'll just make up the problem.
Dialogue: 0,0:05:24.87,0:05:27.30,Default,,0000,0000,0000,,It's much easier to make problems that have remainders
Dialogue: 0,0:05:27.31,0:05:29.51,Default,,0000,0000,0000,,than the ones that don't have remainders.
Dialogue: 0,0:05:29.51,0:05:37.02,Default,,0000,0000,0000,,So let's say I want to divide three into--
Dialogue: 0,0:05:37.02,0:05:40.34,Default,,0000,0000,0000,,I'm going to divide it into
Dialogue: 0,0:05:40.34,0:05:47.36,Default,,0000,0000,0000,,let's say, one seven three five zero nine two.
Dialogue: 0,0:05:47.36,0:05:49.48,Default,,0000,0000,0000,,This will be a nice, beastly problem.
Dialogue: 0,0:05:49.49,0:05:50.94,Default,,0000,0000,0000,,So if we can do this we can handle everything.
Dialogue: 0,0:05:50.94,0:05:54.21,Default,,0000,0000,0000,,So it's one million seven hundred thirty-five thousand ninety-two.
Dialogue: 0,0:05:54.22,0:05:56.51,Default,,0000,0000,0000,,That's what we're dividing three into.
Dialogue: 0,0:05:56.53,0:05:58.72,Default,,0000,0000,0000,,So, three goes into--
Dialogue: 0,0:05:58.72,0:06:00.39,Default,,0000,0000,0000,,And actually, I'm not sure if this will have a remainder.
Dialogue: 0,0:06:00.39,0:06:03.14,Default,,0000,0000,0000,,In the future video I'll show you
Dialogue: 0,0:06:03.14,0:06:06.26,Default,,0000,0000,0000,,how to figure out whether something is divisible by three.
Dialogue: 0,0:06:06.26,0:06:07.15,Default,,0000,0000,0000,,Actually, we can do it right now.
Dialogue: 0,0:06:07.16,0:06:08.78,Default,,0000,0000,0000,,We can just add up all these digits.
Dialogue: 0,0:06:08.79,0:06:10.92,Default,,0000,0000,0000,,One plus seven is eight.
Dialogue: 0,0:06:10.93,0:06:13.18,Default,,0000,0000,0000,,Eight plus three is eleven.
Dialogue: 0,0:06:13.18,0:06:15.68,Default,,0000,0000,0000,,Eleven plus five is sixteen.
Dialogue: 0,0:06:15.68,0:06:20.24,Default,,0000,0000,0000,,Sixteen plus nine is twenty-five.
Dialogue: 0,0:06:20.25,0:06:22.19,Default,,0000,0000,0000,,Twenty-five plus two is twenty-seven.
Dialogue: 0,0:06:22.19,0:06:24.66,Default,,0000,0000,0000,,So actually, this number is divisible by three.
Dialogue: 0,0:06:24.67,0:06:27.42,Default,,0000,0000,0000,,So if you add up all of the digits, you get twenty-seven.
Dialogue: 0,0:06:27.42,0:06:28.88,Default,,0000,0000,0000,,And then you can add up those digits--
Dialogue: 0,0:06:28.88,0:06:30.54,Default,,0000,0000,0000,,Two plus seven is nine.
Dialogue: 0,0:06:30.54,0:06:32.12,Default,,0000,0000,0000,,So that is divisible by three.
Dialogue: 0,0:06:32.12,0:06:34.05,Default,,0000,0000,0000,,That's a trick that only works for three.
Dialogue: 0,0:06:34.06,0:06:35.88,Default,,0000,0000,0000,,So this number actually is divisible by three.
Dialogue: 0,0:06:35.89,0:06:37.70,Default,,0000,0000,0000,,So let me change it a little bit,
Dialogue: 0,0:06:37.70,0:06:41.26,Default,,0000,0000,0000,,so it's not divisible by three.
Dialogue: 0,0:06:41.26,0:06:44.87,Default,,0000,0000,0000,,Let me make this into a one.
Dialogue: 0,0:06:44.87,0:06:46.94,Default,,0000,0000,0000,,Now this number will not be divisible by three.
Dialogue: 0,0:06:46.94,0:06:50.42,Default,,0000,0000,0000,,I definitely want a number where I'll end up with a remainder.
Dialogue: 0,0:06:50.42,0:06:53.09,Default,,0000,0000,0000,,Just so you see what it looks like.
Dialogue: 0,0:06:53.10,0:06:54.57,Default,,0000,0000,0000,,So let's do this one.
Dialogue: 0,0:06:54.57,0:06:57.01,Default,,0000,0000,0000,,Three goes into one zero times.
Dialogue: 0,0:06:57.02,0:06:57.89,Default,,0000,0000,0000,,So we can just move forward.
Dialogue: 0,0:06:57.89,0:06:59.37,Default,,0000,0000,0000,,You could write a zero here,
Dialogue: 0,0:06:59.37,0:07:00.88,Default,,0000,0000,0000,,and multiply that out.
Dialogue: 0,0:07:00.88,0:07:03.21,Default,,0000,0000,0000,,But that just makes it a little bit messy in my head.
Dialogue: 0,0:07:03.21,0:07:04.37,Default,,0000,0000,0000,,So we just move one to the right.
Dialogue: 0,0:07:04.38,0:07:06.88,Default,,0000,0000,0000,,Three goes into seventeen how many times?
Dialogue: 0,0:07:06.88,0:07:11.05,Default,,0000,0000,0000,,Well, three times five is equal to fifteen.
Dialogue: 0,0:07:11.06,0:07:13.93,Default,,0000,0000,0000,,And three times six is equal to eighteen and that's too big.
Dialogue: 0,0:07:13.93,0:07:18.01,Default,,0000,0000,0000,,So three goes into seventeen right here five times.
Dialogue: 0,0:07:18.01,0:07:20.57,Default,,0000,0000,0000,,Five times three is fifteen.
Dialogue: 0,0:07:20.57,0:07:22.00,Default,,0000,0000,0000,,And we subtract.
Dialogue: 0,0:07:22.01,0:07:27.01,Default,,0000,0000,0000,,Seventeen minus fifteen is two.
Dialogue: 0,0:07:27.01,0:07:31.41,Default,,0000,0000,0000,,And now we bring down this three.
Dialogue: 0,0:07:31.42,0:07:33.48,Default,,0000,0000,0000,,Three goes into twenty-three how many times?
Dialogue: 0,0:07:33.48,0:07:36.74,Default,,0000,0000,0000,,Well, three times seven is equal to twenty-one.
Dialogue: 0,0:07:36.75,0:07:38.35,Default,,0000,0000,0000,,And three times eight is too big.
Dialogue: 0,0:07:38.35,0:07:40.01,Default,,0000,0000,0000,,That's equal to twenty-four.
Dialogue: 0,0:07:40.01,0:07:44.07,Default,,0000,0000,0000,,So three goes into twenty-three seven times.
Dialogue: 0,0:07:44.08,0:07:46.85,Default,,0000,0000,0000,,Seven times three is twenty-one.
Dialogue: 0,0:07:46.86,0:07:47.91,Default,,0000,0000,0000,,Then we subtract.
Dialogue: 0,0:07:47.91,0:07:51.74,Default,,0000,0000,0000,,Twenty-three minus twenty-one is two.
Dialogue: 0,0:07:51.75,0:07:53.42,Default,,0000,0000,0000,,Now we bring down the next number.
Dialogue: 0,0:07:53.42,0:07:54.57,Default,,0000,0000,0000,,We bring down the five.
Dialogue: 0,0:07:54.57,0:07:57.35,Default,,0000,0000,0000,,I think you can appreciate why it's called long division now.
Dialogue: 0,0:07:57.36,0:08:00.05,Default,,0000,0000,0000,,We bring down this five.
Dialogue: 0,0:08:00.06,0:08:02.04,Default,,0000,0000,0000,,Three goes into twenty-five how many times?
Dialogue: 0,0:08:02.04,0:08:04.51,Default,,0000,0000,0000,,Well three times eight gets you pretty close
Dialogue: 0,0:08:04.51,0:08:06.15,Default,,0000,0000,0000,,and three times nine is too big.
Dialogue: 0,0:08:06.15,0:08:08.23,Default,,0000,0000,0000,,So it goes into it eight times.
Dialogue: 0,0:08:08.24,0:08:10.17,Default,,0000,0000,0000,,Eight times three is twenty-four.
Dialogue: 0,0:08:10.17,0:08:12.21,Default,,0000,0000,0000,,I'm going to run out of space.
Dialogue: 0,0:08:12.22,0:08:14.17,Default,,0000,0000,0000,,You subtract, you get one.
Dialogue: 0,0:08:14.18,0:08:16.81,Default,,0000,0000,0000,,Twenty-five minus twenty-four is one.
Dialogue: 0,0:08:16.81,0:08:20.15,Default,,0000,0000,0000,,Now we can bring down this zero.
Dialogue: 0,0:08:20.15,0:08:23.06,Default,,0000,0000,0000,,You bring down this zero, just like that.
Dialogue: 0,0:08:23.06,0:08:25.25,Default,,0000,0000,0000,,And you get three goes into ten how many times?
Dialogue: 0,0:08:25.25,0:08:25.84,Default,,0000,0000,0000,,That's easy.
Dialogue: 0,0:08:25.85,0:08:26.94,Default,,0000,0000,0000,,It goes into it three times.
Dialogue: 0,0:08:26.94,0:08:28.00,Default,,0000,0000,0000,,Three times three is nine.
Dialogue: 0,0:08:28.01,0:08:30.07,Default,,0000,0000,0000,,That's about as close to ten as we can get.
Dialogue: 0,0:08:30.08,0:08:32.87,Default,,0000,0000,0000,,Three times three is nine.
Dialogue: 0,0:08:32.87,0:08:33.61,Default,,0000,0000,0000,,Ten minus nine--
Dialogue: 0,0:08:33.61,0:08:36.15,Default,,0000,0000,0000,,I'm going to have to scroll up and down here a little bit--
Dialogue: 0,0:08:36.15,0:08:37.71,Default,,0000,0000,0000,,Ten minus nine is one,
Dialogue: 0,0:08:37.71,0:08:39.68,Default,,0000,0000,0000,,and then we can bring down the next number.
Dialogue: 0,0:08:39.68,0:08:41.42,Default,,0000,0000,0000,,I'm running out of colors.
Dialogue: 0,0:08:41.42,0:08:44.75,Default,,0000,0000,0000,,I can bring down that nine.
Dialogue: 0,0:08:44.75,0:08:46.59,Default,,0000,0000,0000,,Three goes into nineteen how many times?
Dialogue: 0,0:08:46.60,0:08:48.88,Default,,0000,0000,0000,,Well, six is about as close as we can get.
Dialogue: 0,0:08:48.88,0:08:49.86,Default,,0000,0000,0000,,That gets us to eighteen.
Dialogue: 0,0:08:49.86,0:08:51.87,Default,,0000,0000,0000,,So three times six.
Dialogue: 0,0:08:51.87,0:08:53.66,Default,,0000,0000,0000,,Three goes into nineteen six times.
Dialogue: 0,0:08:53.66,0:08:56.39,Default,,0000,0000,0000,,Six times three-- let me scroll down.
Dialogue: 0,0:08:56.40,0:08:59.52,Default,,0000,0000,0000,,Six times three is eighteen.
Dialogue: 0,0:08:59.53,0:09:01.56,Default,,0000,0000,0000,,Nineteen minus eighteen-- we subtract it up here too.
Dialogue: 0,0:09:01.57,0:09:04.36,Default,,0000,0000,0000,,Nineteen minus eighteen is one and then we're almost done.
Dialogue: 0,0:09:04.37,0:09:06.12,Default,,0000,0000,0000,,I can revert back to the pink.
Dialogue: 0,0:09:06.12,0:09:09.90,Default,,0000,0000,0000,,We bring down this one right there.
Dialogue: 0,0:09:09.91,0:09:11.83,Default,,0000,0000,0000,,Three goes into eleven how many times?
Dialogue: 0,0:09:11.84,0:09:15.67,Default,,0000,0000,0000,,Well, that's three times because three times four is too big.
Dialogue: 0,0:09:15.67,0:09:17.17,Default,,0000,0000,0000,,Three times four is twelve, so that's too big.
Dialogue: 0,0:09:17.17,0:09:18.89,Default,,0000,0000,0000,,So it goes into it three times.
Dialogue: 0,0:09:18.89,0:09:22.26,Default,,0000,0000,0000,,So three goes into eleven three times.
Dialogue: 0,0:09:22.26,0:09:26.18,Default,,0000,0000,0000,,Three times three is nine.
Dialogue: 0,0:09:26.19,0:09:30.59,Default,,0000,0000,0000,,And then we subtract and we get a two.
Dialogue: 0,0:09:30.60,0:09:32.67,Default,,0000,0000,0000,,And there's nothing left to bring down.
Dialogue: 0,0:09:32.67,0:09:34.68,Default,,0000,0000,0000,,Right? When we look up here there's nothing left to bring down.
Dialogue: 0,0:09:34.68,0:09:35.75,Default,,0000,0000,0000,,So we're done!
Dialogue: 0,0:09:35.75,0:09:37.90,Default,,0000,0000,0000,,So we're left with the remainder of two,
Dialogue: 0,0:09:37.90,0:09:40.41,Default,,0000,0000,0000,,after doing this entire problem.
Dialogue: 0,0:09:40.41,0:09:45.31,Default,,0000,0000,0000,,So the answer, three goes into one million seven hundred thirty-five thousand ninety-one--
Dialogue: 0,0:09:45.31,0:09:52.94,Default,,0000,0000,0000,,it goes into it five hundred seventy-eight thousand three hundred sixty-three remainder two.
Dialogue: 0,0:09:52.95,0:09:57.19,Default,,0000,0000,0000,,And that remainder two was what we got all the way down there.
Dialogue: 0,0:09:57.19,0:09:58.42,Default,,0000,0000,0000,,So hopefully you now appreciate
Dialogue: 0,0:09:58.42,0:10:01.14,Default,,0000,0000,0000,,that you can tackle pretty much any division problem.
Dialogue: 0,0:10:01.14,0:10:02.94,Default,,0000,0000,0000,,And you also, through this exercise,
Dialogue: 0,0:10:02.96,0:10:06.11,Default,,0000,0000,0000,,can appreciate why it's called long division.