0:00:00.570,0:00:03.500
Let's tackle a slightly more[br]interesting division problem.

0:00:03.500,0:00:06.606
So we're going to take[br]280 and divide it by 5.

0:00:06.606,0:00:08.230
And I encourage you[br]to pause this video

0:00:08.230,0:00:09.760
and try to apply the[br]technique that we've

0:00:09.760,0:00:11.634
seen in a previous video[br]to try to figure out

0:00:11.634,0:00:14.630
what 280 divided by 5 is.

0:00:14.630,0:00:15.890
So let's have our go at it.

0:00:15.890,0:00:16.970
So we could rewrite this.

0:00:16.970,0:00:24.390
We've already seen this[br]as 280 divided by 5.

0:00:24.390,0:00:26.200
So the first question[br]we can ask ourselves

0:00:26.200,0:00:28.300
is, how many times[br]does 5 go into 2?

0:00:28.300,0:00:30.360
Well, 5 doesn't[br]go into 2 at all.

0:00:30.360,0:00:31.845
It goes 0 times.

0:00:31.845,0:00:35.590
0 times 5 is 0.

0:00:35.590,0:00:36.940
And then we subtract.

0:00:36.940,0:00:39.220
2 minus 0 is 2.

0:00:39.220,0:00:41.390
And now, we can bring[br]down the next digit,

0:00:41.390,0:00:44.139
which, in this case, is an 8.

0:00:44.139,0:00:45.930
And so we can ask[br]ourselves, how many times

0:00:45.930,0:00:49.570
does 5 go into 28[br]without going over it?

0:00:49.570,0:00:54.450
So we could think, well,[br]let's see 5 times 5 is 25.

0:00:54.450,0:00:58.770
5 times 6 is 30.

0:00:58.770,0:01:01.150
So 5 times 6 would go over 28.

0:01:01.150,0:01:03.760
So we want to go[br]back to 5 times 5.

0:01:03.760,0:01:06.630
So 5 goes into 28 5 times.

0:01:06.630,0:01:09.280
5 times 5 is 25.

0:01:09.280,0:01:11.340
And you subtract.

0:01:11.340,0:01:13.490
28 minus 25 is 3.

0:01:13.490,0:01:15.710
And now, let's bring[br]down the next digit.

0:01:15.710,0:01:18.360
In this case, the digit is a 0.

0:01:18.360,0:01:20.290
So how many times[br]does 5 go into 30?

0:01:20.290,0:01:21.830
Well, it goes exactly 6 times.

0:01:21.830,0:01:23.520
We've already talked about that.

0:01:23.520,0:01:26.110
6 times 5 is 30.

0:01:26.110,0:01:27.350
We subtract.

0:01:27.350,0:01:30.260
And we have nothing left over.

0:01:30.260,0:01:37.830
So we just figured out that 280[br]divided by 5 is equal to 56.

0:01:37.830,0:01:39.989
Now, why did this work?

0:01:39.989,0:01:41.780
Well, the first way to[br]think about it, this

0:01:41.780,0:01:42.606
was actually 200.

0:01:42.606,0:01:43.980
And we were thinking[br]about, do we

0:01:43.980,0:01:46.080
put anything in the[br]hundreds place here?

0:01:46.080,0:01:49.020
So one way of thinking about[br]it, how many hundreds of times

0:01:49.020,0:01:52.175
does 5 go into 200?

0:01:52.175,0:01:53.800
And it doesn't go[br]any multiples of 100.

0:01:53.800,0:01:54.930
And if that's a[br]little confusing,

0:01:54.930,0:01:56.140
don't worry too much about it.

0:01:56.140,0:01:57.681
But I want you to[br]really think deeply

0:01:57.681,0:01:59.190
about the place notation.

0:01:59.190,0:02:00.860
But then we were able[br]to, again, extend

0:02:00.860,0:02:04.170
it to instead of just[br]200 but then 280.

0:02:04.170,0:02:06.150
This 28 right over here,[br]if you think about it,

0:02:06.150,0:02:08.020
this 2 is in the hundreds place.

0:02:08.020,0:02:09.710
This 8 is in the tens place.

0:02:09.710,0:02:12.030
So this is really[br]representing 280.

0:02:12.030,0:02:15.340
And we said, how many tens[br]of times does 5 go into 280?

0:02:15.340,0:02:19.220
Well, it goes 5 tens[br]times, or it goes 50 times.

0:02:19.220,0:02:22.220
50 times 5 is 250.

0:02:22.220,0:02:26.340
When you subtract 250[br]from 280, you've got 30.

0:02:26.340,0:02:28.590
And there were no other[br]things in the ones place here.

0:02:28.590,0:02:30.423
So we just have to[br]figure out how many times

0:02:30.423,0:02:31.990
does 5 go into 30.

0:02:31.990,0:02:33.590
So hopefully, that[br]gives you a sense

0:02:33.590,0:02:36.860
of what's actually happening[br]behind this little process.

0:02:36.860,0:02:38.070
It's not just magic.

0:02:38.070,0:02:41.194
We're really just keeping[br]track of place value here.

0:02:41.194,0:02:42.610
The other thing I[br]want to show you

0:02:42.610,0:02:45.629
is that we didn't necessarily[br]have to write this 0 here.

0:02:45.629,0:02:47.170
Another way of[br]computing it, we could

0:02:47.170,0:02:52.465
have said 280 divided by 5.

0:02:52.465,0:02:55.080
And we could've said, how[br]many times does 5 go into 2?

0:02:55.080,0:02:56.330
Well, it doesn't go any times.

0:02:56.330,0:03:00.140
So let's just think[br]about 5 going into 28.

0:03:00.140,0:03:03.330
Well, 5 goes into 28 5 times.

0:03:03.330,0:03:05.820
5 times 5 is 25.

0:03:05.820,0:03:07.020
Subtract.

0:03:07.020,0:03:09.310
28 minus 25 is 3.

0:03:09.310,0:03:11.190
Bring down the 0.

0:03:11.190,0:03:13.690
5 goes into 30 six times.

0:03:13.690,0:03:15.630
6 times 5 is 30.

0:03:15.630,0:03:17.330
And we have nothing left over.

0:03:17.330,0:03:19.580
And again, what[br]we're really saying

0:03:19.580,0:03:24.282
is that 5 doesn't go into[br]200 any hundreds of times.

0:03:24.282,0:03:25.865
If this was a 500,[br]you could say, hey,

0:03:25.865,0:03:27.660
it's going to go[br]in it 100 times.

0:03:27.660,0:03:30.600
But instead, we go, well,[br]what about 5 going into 280?

0:03:30.600,0:03:32.080
Well, it goes 50 times.

0:03:32.080,0:03:34.400
50 times 5 is 250.

0:03:34.400,0:03:36.880
280 minus 250 is 30.

0:03:36.880,0:03:38.870
5 goes into 30 six times.

0:03:38.870,0:03:41.644
So hopefully, that makes[br]a little bit of sense.