Give an alternative proof of the existence ofq and r in Theorem for the case n ≥ 0 by firs...

Give an alternative proof of the existence ofq and r in Theorem for the case n ≥ 0 by first showing that the set X  consisting ol all integers k where dk > n is a nonempty set of nonnegative integers, then showing that X has a least element, and finally analyzing the least element of X.

Theorem