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Review: Long Division of Whole Numbers

Review:Long Division of Whole Numbers

Example:

52212

Write the quotient as a mixed number.

Divide: how many times does 12 go into 52 without going over?

Divide: how many times does 12 go into 52 without going over?

Divide: how many times does 12 go into 52 without going over?

Multiply 412:

Divide: how many times does 12 go into 52 without going over?

Multiply 412:

Divide: how many times does 12 go into 52 without going over?

Multiply 412:

Here we subtract:

Divide: how many times does 12 go into 52 without going over?

Multiply 412:

Here we subtract:

Divide: 12 into 44:

Divide: 12 into 44:

Divide: 12 into 44:

Multiply:

Divide: 12 into 44:

Multiply:

Subtract:

Notice the repeated pattern of operations.

Divide:

Multiply:

Subtract:

As we have 8 pizzas, or whatever, leftover to divide among 12 people, each person gets an additional 8/12:

As we have 8 pizzas, or whatever, leftover to divide among 12 people, each person gets an additional 8/12:

As we have 8 pizzas, or whatever, leftover to divide among 12 people, each person gets an additional 8/12:

Note that the fraction part is

the remainder

the divisor .

Reducing:

Badda-Bing, Baby! That’s all there is to it.

Divide: 15 goes into 65…

Divide: 15 goes into 65 4 times

Divide: 15 goes into 65 4 times

Multiply:

Divide: 15 goes into 65 4 times

Multiply:

Subtract:

Divide: 15 goes into 53 3 times

Divide: 15 goes into 53 3 times

Multiply:

Divide: 15 goes into 53 3 times

Multiply:

Subtract:

Divide: 15 goes into 80 5 times

Divide: 15 goes into 80 5 times

Multiply:

Divide: 15 goes into 80 5 times

Multiply:

Subtract:

We’re done when this difference, 5, is smaller than the divisor, 15.

We’re done when this difference, 5, is smaller than the divisor, 15. So, closing the deal:

We’re done when this difference, 5, is smaller than the divisor, 15. So, closing the deal…

We’re done when this difference, 5, is smaller than the divisor, 15. So, closing the deal…and reducing…

We’re done when this difference, 5, is smaller than the divisor, 15. So, closing the deal…and reducing…

Finis