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Let's tackle a slightly more
interesting division problem.

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So we're going to take
280 and divide it by 5.

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And I encourage you
to pause this video

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and try to apply the
technique that we've

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seen in a previous video
to try to figure out

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what 280 divided by 5 is.

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So let's have our go at it.

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So we could rewrite this.

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We've already seen this
as 280 divided by 5.

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So the first question
we can ask ourselves

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is, how many times
does 5 go into 2?

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Well, 5 doesn't
go into 2 at all.

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It goes 0 times.

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0 times 5 is 0.

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And then we subtract.

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2 minus 0 is 2.

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And now, we can bring
down the next digit,

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which, in this case, is an 8.

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And so we can ask
ourselves, how many times

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does 5 go into 28
without going over it?

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So we could think, well,
let's see 5 times 5 is 25.

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5 times 6 is 30.

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So 5 times 6 would go over 28.

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So we want to go
back to 5 times 5.

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So 5 goes into 28 5 times.

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5 times 5 is 25.

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And you subtract.

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28 minus 25 is 3.

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And now, let's bring
down the next digit.

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In this case, the digit is a 0.

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So how many times
does 5 go into 30?

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Well, it goes exactly 6 times.

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We've already talked about that.

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6 times 5 is 30.

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We subtract.

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And we have nothing left over.

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So we just figured out that 280
divided by 5 is equal to 56.

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Now, why did this work?

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Well, the first way to
think about it, this

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was actually 200.

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And we were thinking
about, do we

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put anything in the
hundreds place here?

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So one way of thinking about
it, how many hundreds of times

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does 5 go into 200?

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And it doesn't go
any multiples of 100.

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And if that's a
little confusing,

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don't worry too much about it.

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But I want you to
really think deeply

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about the place notation.

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But then we were able
to, again, extend

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it to instead of just
200 but then 280.

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This 28 right over here,
if you think about it,

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this 2 is in the hundreds place.

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This 8 is in the tens place.

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So this is really
representing 280.

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And we said, how many tens
of times does 5 go into 280?

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Well, it goes 5 tens
times, or it goes 50 times.

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50 times 5 is 250.

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When you subtract 250
from 280, you've got 30.

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And there were no other
things in the ones place here.

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So we just have to
figure out how many times

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does 5 go into 30.

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So hopefully, that
gives you a sense

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of what's actually happening
behind this little process.

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It's not just magic.

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We're really just keeping
track of place value here.

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The other thing I
want to show you

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is that we didn't necessarily
have to write this 0 here.

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Another way of
computing it, we could

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have said 280 divided by 5.

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And we could've said, how
many times does 5 go into 2?

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Well, it doesn't go any times.

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So let's just think
about 5 going into 28.

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Well, 5 goes into 28 5 times.

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5 times 5 is 25.

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Subtract.

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28 minus 25 is 3.

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Bring down the 0.

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5 goes into 30 six times.

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6 times 5 is 30.

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And we have nothing left over.

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And again, what
we're really saying

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is that 5 doesn't go into
200 any hundreds of times.

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If this was a 500,
you could say, hey,

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it's going to go
in it 100 times.

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But instead, we go, well,
what about 5 going into 280?

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Well, it goes 50 times.

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50 times 5 is 250.

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280 minus 250 is 30.

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5 goes into 30 six times.

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So hopefully, that makes
a little bit of sense.

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