Division with a remainder ("the dividend") to b (the divisor) means finding integers q and r that the validity of the equation:
Quinton.Braun answered on March 23rd 20 at 19:04
The fact that when dividing with a remainder, the remainder must be positive. This means that when dividing with a remainder of negative numbers, we need a positive balance to find from a SMALLER number. It turns out that when dividing with remainder 42 10 we reject less delimuyu a part: 40. Remains 2. So by dividing -42 with the remainder we discard less delimuyu a part of: -50, leaving a positive balance equal to -42: -50 - (-42) = -50 + 42 = 8.