When we are offered a long division to perform it will certainly not always work the end to a whole number.

Sometimes there room numbers left over. These are dubbed remainders.

Taking an example comparable to that on the Long department page it becomes more clear:

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(If you feeling happy through the process on the Long department page you have the right to skip the very first bit.)

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4÷25 = 0 remainder 4 The an initial number the the dividend is separated by the divisor.

You are watching: 2000 divided by 15

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The totality number result is placed at the top. Any kind of remainders space ignored at this point.
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25×0 = 0 The answer native the first operation is multiply by the divisor. The an outcome is placed under the number separated into.
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4−0 = 4 Now we take away the bottom number indigenous the top number.
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Bring down the next variety of the dividend.
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43÷25 = 1 remainder 18 Divide this number by the divisor.
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The whole number result is put at the top. Any remainders room ignored in ~ this point.
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25×1 = 25 The answer indigenous the above operation is multiply by the divisor. The an outcome is inserted under the last number separated into.
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43−25 = 18 Now we take away the bottom number from the peak number.
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Bring under the next variety of the dividend.
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185÷25 = 7 remainder 10 Divide this number through the divisor.
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The whole number result is inserted at the top. Any kind of remainders space ignored in ~ this point.
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25×7 = 175 The answer indigenous the over operation is multiply by the divisor. The an outcome is put under the number divided into.
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185−175 = 10 Now we take away the bottom number from the peak number.

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There is still 10 left over yet no more numbers to carry down.
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With a long division with remainders the prize is expressed as 17 remainder 10 as shown in the diagram

Answer: 435 ÷ 25 = 17 R 10


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