1. **State the problem:** Simplify the expression $24 \div \left(-\frac{3}{4}\right)$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. So, $$24 \div \left(-\frac{3}{4}\right) = 24 \times \left(-\frac{4}{3}\right).$$ 3. **Perform the multiplication:** $$24 \times \left(-\frac{4}{3}\right) = \frac{24}{1} \times \left(-\frac{4}{3}\right).$$ 4. **Simplify before multiplying:** $$\frac{\cancel{24}^{8}}{1} \times \left(-\frac{4}{\cancel{3}^{1}}\right) = 8 \times (-4) = -32.$$ 5. **Final answer:** $$24 \div \left(-\frac{3}{4}\right) = -32.$$