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question about remainders

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Hello,
can someone confirm that property on remainders? Or is that only common sense?

the remainder of \frac{x+y}{m} the remainder of the sum of the remainders of \frac{x}{m} and \frac{y}{m} ?

example : the remainder of (3+7)/3 is the remainder of : remainder of 3/3 + remainder of 7/3

i think i saw it somewhere but can't find it

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