#### Answer

The algebraic expression is:
$$\frac{5}{x} - (x + 2)$$

#### Work Step by Step

To write an algebraic expression for the statement, we need to break it down into its component parts:
"The quotient of $5$ and a number" means "$5 \div x$" or "$\frac{5}{x}.$
"Decreased by" means to subtract.
"$2$ more than a number" means "$x + 2$."
Let's put all the pieces together to come up with the algebraic expression:
$$\frac{5}{x} - (x + 2)$$