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Number (mult/div)
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India
Class IV

Divide a 3 digit number by a 1 digit number using area or array model

Lesson
Practice
Lesson

When we need to divide a three digit number, such as $$400 by a one digit number, such as $$8, we can use arrays and area models to help us.  

We can also start with a simpler problem, such as $$40 divided by $$8, (also written as $$40÷​8) which helps us as well.

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Worked examples

Question 1

Let's use an area model to find the answer to $$133÷​7.

  1. We set up the area model using a rectangle like this.

    $$7
    Total area: $$133

    Now if we don't know straight away what $$133÷​7 is, we start with something we do know, like groups of $$10.

    Fill in the area used so far if we take out $$10 groups of $$7.

    $$10
    $$7 $$
    Total area: $$133

  2. How much area is remaining?

    $$10
    $$7 $$70 $$
    Total area: $$133

  3. What is the width of the second rectangle?

      $$10 $$
    $$7 $$70 $$63
      Total area: $$133

  4. Using the area model above, what is $$133÷​7?

Question 2

We want to find $$108÷​6.

  1. Fill in the boxes to complete the area model.

      $$10 $$
    $$6 $$ $$
      Total area: $$108

  2. Using the area model above, what is $$108÷​6?

Question 3

We want to find $$138÷​6.

  1. Fill in the widths of the rectangles on the area model.

    $$ $$
    $$6 $$66 $$72
    Total area: $$138

  2. Using the area model above, what is $$138÷​6?

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