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Because sometimes there will be things leftover and you can't split it all up in the question.

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12y ago

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If q is a divisor which is greater than 1 and n is an integer, then q*n = x and q*(n + 1) = q*n + q = x + q.

That is, q goes evenly into x, and the next multiple is x + q. So for q does not go into any integer between x and x + q, that is, it leaves a remainder for each of them.

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7y ago
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Q: Why is there sometimes a remainder in division?
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