Quotient is basically the answer you get when you divide two numbers. For example, the quotient of 6 and 3 is 2 since, when I divide 6 by 3 I get 2.
Thus,
Quotient of b and a number x = [tex] \frac{b}{x} [/tex]
9 less than quotient of b and a number x = [tex] \frac{b}{x} - 9[/tex]