Quotient is basically the answer you get when you divide two numbers.
For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.
Quotient of x and 3 = [tex] \frac{x}{3} [/tex]
Eight less than quotient of x and 3 is [tex] \frac{x}{3} - 8[/tex].
Hence, the answer is C.