1. Stating the problem: Simplify the expression $$\frac{16x^2 y - x^5 y^3}{x^2 y}$$. 2. Write the expression as a single fraction: $$\frac{16x^2 y - x^5 y^3}{x^2 y}$$ 3. Use the property of division over subtraction: $$\frac{16x^2 y}{x^2 y} - \frac{x^5 y^3}{x^2 y}$$ 4. Simplify each term separately by canceling common factors: $$\frac{\cancel{16} \cancel{x^2} \cancel{y}}{\cancel{x^2} \cancel{y}} - \frac{x^5 y^3}{x^2 y} = 16 - \frac{x^5 y^3}{x^2 y}$$ 5. Simplify the second term: $$\frac{x^5 y^3}{x^2 y} = x^{5-2} y^{3-1} = x^3 y^2$$ 6. Final simplified expression: $$16 - x^3 y^2$$