1. **State the problem:** Divide the expression $$\frac{25x + 20}{5} \div (5x + 4)$$ and write the answer in simplest form. 2. **Recall the division rule for fractions:** Dividing by a number is the same as multiplying by its reciprocal. So, $$\frac{25x + 20}{5} \div (5x + 4) = \frac{25x + 20}{5} \times \frac{1}{5x + 4}$$ 3. **Rewrite the expression:** $$\frac{25x + 20}{5} \times \frac{1}{5x + 4} = \frac{25x + 20}{5(5x + 4)}$$ 4. **Factor the numerator:** $$25x + 20 = 5(5x + 4)$$ 5. **Substitute the factorization back:** $$\frac{5(5x + 4)}{5(5x + 4)}$$ 6. **Cancel common factors:** $$\frac{\cancel{5}(5x + 4)}{\cancel{5}(5x + 4)} = 1$$ 7. **Final answer:** $$1$$ The expression simplifies to 1.