IF a is a positive integer , find the quotient and the remainder of the division of a^2 - 3 by a?

If a = 1, then
(a^2 - 3)/a
= -2. The quotient is -2, and the remainder is 0.

If a = 2, then
(a^2 - 3)/a
= 1/2. The quotient is 0, and the remainder is 1.

If a ≥ 3, then
(a^2 - 3)/a
= (a^2 - a + a - 3)/a
= a - 1 + (a - 3)/a. The quotient is a - 1, and the remainder is a - 3.