Dear Homework Unlocked,

My 4^{th} grade son is learning several different methods of long division and came home today with an assignment to work on ‘Division without Dividing’. His math notes show 1 example. I understand long division but neither of us can work out what this example shows. Any insight?

Here’s the example:

Thanks,

Jerry

Hi Jerry,

Thanks for our newest Homework Headache. The example your son brought home is one of the new methods of long division that our kids are learning in school. This method uses the product of multiples of 10 and the divisor to break up the dividend into smaller parts- in effect, it allows you to divide without using division. This particular method works really well for students who find multiplication much easier than division.

Your son’s example shows the 423 ÷ 3. We’ll go through the same problem step by step to show you how this method works. We’ve added some color-coding so you can follow more easily.

First, set up the problem in a division bracket just like you normally would but place a vertical line to the right of the bracket.

423 ÷ 3 = 141!

All done! Hope we could provide homework help to you and your child.

Sincerely,

Homework Unlocked

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