# Solve My Long Division Problem

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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.

Regardless of whether a particular division will have a non-zero remainder, this method will always give the right value for what you need on top.

In this way, polynomial long division is easier than numerical long division, where you had to guess-n-check to figure out what went on top.

Note that a vertical Since 3.33 x 30.027027027 does not equal 99.99, either the calculator ran out of room before the long division was completed, the quotient contains a recurring decimal, or there is a rounding issue between the calculated result and the long division result.

## Comments Solve My Long Division Problem

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