/ and %

Question

Modulus operator gives the remainder and the division operator gives the quotient. So how is it possible that:-
-16 / -3 = 5
BUT
-16 % -3 = -1
According to me, both the answers should have same sign.

Answer 1

No. Because 5 * -3 is -15 and you need -1 to get to -16, which actually is the remainder of this division

Answer 2

Thanks Nikolai.