Dividing by a fraction means multiplying by its reciprocal.

• \( \frac{3}{4} \div \frac{1}{8} = \frac{3}{4} \times \frac{8}{1} = \frac{24}{4} = 6 \)

Check: 6 × \( \frac{1}{8} = \frac{6}{8} = \frac{3}{4} \). ✓

Final Answer: 6