Problem Solving

When a possitive integer is divided by 7, the only possible remainders are 0,1,2,3,4,5 and 6. Also, each of these remainders will occur exactly once when the terms in a sequence of 7 consecutive integers are divided by 7.

This is an explanation i got from OG about remainders, Can i generalize this rule when dividing a possitive integer by any n possitive integer? ex:

let´s say i divide a possitive integer by 12, are all possible remainders 0,1,2,3,4,5,6,7,8,9,10,11?

Thanks