Modulo operator practice

Hey everyone. I already solved the Chapter 3 assignment, but I was wondering if anyone could provide advice on how to do long division for modulo operators involving negative numbers (ex. -3 mod 90, 7 mod -35). I just want to have a better understanding of the modulo operator.

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x == (x // y) * y + (x % y)

will always be true for all integer values of x and y, with the exception of y = 0.

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have you checked out some explanations about modulo on stackoverflow? i think this link explains some of the complexities of it pretty well: