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 introduce the grid method for division without 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: Introduction to the Grid Method for Division
This is a really neat method for division that is going to be particular effective for students that are struggling with traditional long division. It’s quite different, so we recommend going over the same example a few times when you’re teaching it to your kids (and learning it yourself)!
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 set up your problem, follow 4 basic steps that are repeated for each digit of the dividend beginning with the first digit and working your way through to the last:
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.
Confused? Let’s illustrate this with an example. For our first example we‘re going to use the same problem that we used in some of our other videos showing new methods for long division so you can compare them directly. (see New Methods for Long Division: Multiples of 10, no remainder, New Methods for Long Division: Box Method, no remainder, and New Methods for Long Division Super Fast Method).
Example 1. Solve 423 ÷ 3 using the grid method
Begin by creating your grid. The grid must have 2 rows and as many columns as your dividend has. So for a dividend of 423 your grid should look something like this. Its helpful to add little tick marks above each box- this is where our quotient will go.
Place your dividend in the box and your divisor on the outside of the grid.
Show your child that you can find your answer by reading the numbers off the top of the grid. In our example,
423 ÷ 3 = 141
For a more complicated example with a remainder, please see the video, “New Methods for Long Division: Grid Method, with a remainder”
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