Translate the following phrase into an algebraic expression. Do not simplify. \[ x \text { divided by the product of } 8 \text { and } y \]

To translate the phrase "x divided by the product of 8 and y" into an algebraic expression, we recognize that the product of 8 and y can be represented as \(8y\). Therefore, when we say "x divided by," we mean to write \(x\) in the numerator and the product \(8y\) in the denominator. Hence, the expression can be written as: \[ \frac{x}{8y} \]