Long Division

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  • August 2019
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Set up the problem as shown on the right. Look at the first digit inside the division.

Long Division

83 does not 'go into' 3. Write 0 in the first column. Now look at the first two digits. 83 does not 'go into' 35. Write 0 in the next column. Now look at the first three digits. 83 goes into 357 four times. (LOOK AT THE TABLE ON THE RIGHT) Write 4 in the next answer space.

4 × 83 is 332. Write 332 below 357.

357 - 332 is 25. Write 25 in the next row.

Maths Help suggests: Long division is a way to divide a large number by another number with 2 or more digits. Here is an example of a long division of a 6-digit number by a 2-digit number:

357481 ÷ 83 First, it is a good idea to work out the 83× table. This is shown in the column on the right.

Bring down the 4. Write 4 next to the answer to the subtraction.

83 goes into 254 three times. Write 3 in the next answer space. 3 × 83 is 249. Write 249 below 254. 254 - 249 is 5. Write 5 in the next row.

Bring down the 8.

83 does not go into 58. Write 0 in the next answer space. Bring down the 1. 83 goes into 581 exactly seven times. Write 7 in the next answer space.

We have reached the end. The last division went exactly, so there is no remainder. The answer is: 357481 ÷ 83 = 4307

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