To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
For the problem \( \frac{3}{4} \div \frac{3}{8} \), you can rewrite it as:
\[ \frac{3}{4} \times \frac{8}{3} \]
Now, multiply the numerators and the denominators:
\[ \frac{3 \times 8}{4 \times 3} = \frac{24}{12} \]
Now, simplify \( \frac{24}{12} \):
\[ \frac{24}{12} = 2 \]
So, \( \frac{3}{4} \div \frac{3}{8} = 2 \).