Can the min/max value of a quotient be calculated for a simple division?

Question

If I have a simple division $x \over y$ I can rewrite it as $x = Qy +R$, (where Q is the Quotient and R is the remainder).

I know that $|y| > R \ge 0$.

Is there a similar rule for the quotient?

Answer 1

I suppose it is always true that $|x| > |Q| \geq 0$.