Long Division ?

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Can someone please help me explain "WHY" long division works to my ds10? He is getting the "HOW" of it now, but wants to know "WHY." I am not too sure of how to explain it, so looking to all of you for some help.

Thanks!

Michelle :001_smile:

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When we started it, I used base 10 blocks to show the place value and after doing the division with the blocks, I showed the algorithm. We did the blocks for a problem, then the writing. After a few days (yup), my son preferred the algorithm :)

So for 892 / 3, you'd first divide the hundreds by 3 (show with blocks).

We get 2 hundreds and have 2 hundreds left over.

So we break the left over hundreds into tens.

We have 29 tens.

Dividing them by 3, we have 9 tens with 2 left over.

We break those into ones.

We have 22 ones.

Dividing them by 3, we have 7 ones and 1 left over.

Thus, 892 / 3 is 297 1/3.

Showing with the blocks first really helped make the concept clearer.

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