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This is a common operation in Number Theory, especially in relation to Euclid's Algorism.

If, when dividing two numbers, complete division does not occur then usually the operation stops at a value less than the dividend and the resulting difference is described as the remainder.

Example : 88 ÷ 7 = 12 with remainder 4. (12 x 7 = 84)

A negative remainder is when the division stops at a value greater than the dividend. Normally this is the value immediately greater than the dividend.

Example : 88 ÷ 7 = 13 with remainder -3 (13 x 7 = 91)

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Q: How do you find a negative remainder of a number?
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