Simplify. \[ \frac{\frac{x-5}{x^{3}}}{\frac{x-5}{x}} \]

To simplify the expression \[ \frac{\frac{x-5}{x^{3}}}{\frac{x-5}{x}}, \] we start by noting that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as follows: \[ \frac{x-5}{x^3} \div \frac{x-5}{x} = \frac{x-5}{x^3} \times \frac{x}{x-5}. \] Assuming \(x \neq 5\) (to avoid division by zero), we can cancel the \(x - 5\) terms: \[ \frac{x-5}{x^3} \times \frac{x}{x-5} = \frac{x}{x^3} = \frac{1}{x^2}. \] Thus, the simplified expression is: \[ \frac{1}{x^2}. \]