In the book
Discrete Mathematics and Its Applications, 8e, Kenneth Rosen the quotient and remainder when $-11$ is divided by $3$ are specified as $-4$ and $1$ respectively. I would appreciate some help in understanding how we got there. It doesn't gel well with what I was taught in my elementary school.
Specifically, since $-11=(-3)\times 3+(-2)$, why do we not say that the quotient is $-3$ and the remainder is $-2$?