On Friday, 24 June 2016 at 20:43:38 UTC, deadalnix wrote:
Most reasonable is

numerator = quotient * divisor + remainder

Which means it can be negative.

Depends on the definition.

If division truncates towards negative infinity, the remainder will always be nonegative (in case of a positive divisor).

I personally find rounding towards negative infinity the most practical; every time I used modulo, I wanted the result to be in the range [0, divisor). Python does it this way and I find it very convenient.

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