How To Solve A Long Division Problem

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So once again, well, this is beyond 7 times 12, which is 84, which you know from our multiplication tables.

And remember, this might seem like magic, but what we really said was 7 goes into 90 ten times-- 10 because we wrote the 1 in the tens place --10 times 7 is 70, right?

You will often see other versions, which are generally just a shortened version of the process below.

You can also see this done in Long Division Animation.

And, at least when I was in school, we learned through 12 times 12. Let's say I'm taking 25 and I want to divide it by 5. But for now, you just say, well it goes in cleanly 7 times, but that only gets us to 21. So you can even work with the division problems where it's not exactly a multiple of the number that you're dividing into the larger number.

So I could draw 25 objects and then divide them into groups of 5 or divide them into 5 groups and see how many elements are in each group. Well you say, that's like saying 7 times what-- you could even, instead of a question mark, you could put a blank there --7 times what is equal to 49? But let's do some practice with even larger numbers. So let's do 4 going into-- I'm going to pick a pretty large number here --344. This is way out of bounds of what I know in my 4-multiplication tables.

Let me draw a line here so we don't get confused.

And there's going to be a little bit left over. Since we're doing the whole 60, we put the 7 above the ones place in the 60, which is the tens place in the whole thing.

So all the way up to 10 times 10, which you know is 100. So it doesn't have to go in completely cleanly.

And then, starting at 1 times 1 and going up to 2 times 3, all the way up to 10 times 10. Because to do multiplication problems like this, for example, or division problems like this. Well what you do is you think of what is the largest multiple of 3 that does go into 23? And, in the future, we'll learn about decimals and fractions.


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