Most of us grew up learning the basic method for long division. (Forget what that means? Watch the “Dividing by a Single Digit video for a review“)! Today, our kids are learning many new methods of long division. Here we explain division by multiples of 10 with a remainder. Let Homework Unlocked teach you these new methods so that you can help your kids with their math homework!

If you only have time to listen to the lesson, feel free to click on our audio file below.

## New Methods for Long Division: Division by Multiples of 10 With a Remainder

The Division by Multiples of 10 method in effect, allows you to divide without using division. To divide using this method,

Step 1: Set up the problem in a division bracket just like you normally would but place a horizontal line to the right of the bracket.

Step 2: Multiply the divisor (the number on the outside of the multiplication bracket) by multiples of 10.

Step 3: Then you use this product to break up the dividend into smaller parts.

Repeat until you get to the final digit. If there is a remainder after you get to the last digit:

Step 1: Extend your horizontal line downwards and add a Decimal Place to the right of the whole number portion of your quotient. In effect, this line represents the decimal point! Add a zero after the decimal point.

Step 2: Continue to divide your divisor until you reach zero. Add the remainder to the whole number portion of your quotient.

Let’s walk through an example of this method. In the following example the divisor does not fit evenly into the dividend so our quotient will have a remainder. For a more simple example without a remainder, please consult the Homework Unlocked lesson library.

**Example 1.** **19533 ÷ 15**

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

Next, break down your dividend (the number inside the quotient box) by multiples of 10 times the divisor. In this example, you would proceed by following these steps:

As you can see, in step 8, the horizontal line represents our decimal point. Although it is easier to think about dividing 30 by 15, we are actually dividing 3.0 by 15, so our remainder is **.2**!

19533 ÷ 15 = 1302.2

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