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 the grid method for division 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: Grid Method for Division When There is a Remainder
The grid method of division can also be used for problems when there is a remainder.
To set up the grid method,
Step 1. Create your grid. The grid must have 2 rows and as many columns as your dividend has.
Step 2. Place your dividend in the box and your divisor on the outside of the grid.
Once you have created your grid, follow the same four steps as problems without a remainder, with one additional step:
Step 1. Ask yourself, how many times does the divisor go into your dividend. Record the answer to this above the digit of the dividend.
Step 2. Multiply your divisor by the number you recorded above the grid, place this answer in the box below the dividend.
Step 3. Subtract the number in the bottom box from the number in the upper row. Record the answer below the grid.
Step 4. If the value of the upper box minus the lower box was greater than 0 shift that number in front of the next digit of your dividend.
Step 5. If you have a remainder when you get to your last digit, place a line after the last digit of your quotient. This line will represent the decimal point. Add a zero and proceed through the above four steps until you have a remainder of zero.
Let’s walk through an example.
Example 1. Solve 6071 ÷ 5 using the grid method
Begin by creating your grid. Remember, the grid must have 2 rows and as many columns as your dividend has. So for a dividend of 1071 your grid should look something like this:
Place your dividend in the box and your divisor on the outside of the box.
Now, go through the four steps for each digit of the dividend
You can read the solution off of the top of the grid. Remind your child that the line after the last digit of the quotient represents the decimal point.
6071 ÷ 5 = 1214.2
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