1. The problem asks to write an algebraic expression for a number divided by 8. 2. Let the number be represented by the variable $x$. 3. Dividing a number by 8 means we write the number over 8 as a fraction. 4. The algebraic expression is therefore $$\frac{x}{8}$$. 5. This expression means take the number $x$ and divide it into 8 equal parts, then take one of those parts. 6. This is the simplest form of the expression for a number divided by 8.