Dividing using whole numbers

There are a couple different strategies that can be used to determine the answer of a division equation. The answer of a division equation is referred to as the quotient. The larger number in the division equation is referred to as the dividend and the smaller number is called the divisor. Please see the following example.


One strategy that can be used to solve this equation is called partitioning. Partitioning means dispersing your number into equal groups. Please see the example below. One question to ask yourself could be, how many items need to be in each group to make all groups equal?

We have partitioned 28 into four equal groups of 7.


Another strategy that can be used to solve this equation is called repeated subtraction. Please see the work below to demonstrate this strategy. If you count the amount of times we subtracted four, you will get a quotient of 7. You will continue to subtract the dividend from the divisor until you reach an answer of 0. Both strategies get you the same quotient or answer.


 28 - 4 = \bold{24}

 24- 4 = \bold{20}

20 - 4 = \bold{16}

16 - 4 = \bold{12}

12 - 4 = \bold{8}

8 - 4 = \bold{4}

4- 4 = \bold{0}


Always remember to check your work when you are finished. One way to check your work is to use the inverse operation, multiplication. For example,  4 \times 7 = 28, so  28 \div 4 = 7.


Try repeated subtraction and partitioning to complete the equation below on your own. Take your time and refer to the strategies above if you get stuck.


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