1. **State the problem:** Simplify the expression $$\frac{(2h - 3k)^2}{(10h - 15k)} \div hk$$. 2. **Rewrite the division as multiplication by the reciprocal:** $$\frac{(2h - 3k)^2}{(10h - 15k)} \times \frac{1}{hk}$$ 3. **Factor where possible:** - Factor the denominator $10h - 15k$ as $5(2h - 3k)$. 4. **Substitute the factorization:** $$\frac{(2h - 3k)^2}{5(2h - 3k)} \times \frac{1}{hk}$$ 5. **Cancel common factors:** $$\frac{\cancel{(2h - 3k)}(2h - 3k)}{5\cancel{(2h - 3k)}} \times \frac{1}{hk} = \frac{2h - 3k}{5} \times \frac{1}{hk}$$ 6. **Multiply the fractions:** $$\frac{2h - 3k}{5} \times \frac{1}{hk} = \frac{2h - 3k}{5hk}$$ **Final answer:** $$\boxed{\frac{2h - 3k}{5hk}}$$