To divide fractions, you multiply by the reciprocal of the divisor.
So, to divide \( \frac{3}{4} \) by \( \frac{3}{8} \), you can set it up as follows:
\[ \frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3} \]
Now, multiply the numerators and the denominators:
\[ = \frac{3 \times 8}{4 \times 3} = \frac{24}{12} \]
Now, simplify \( \frac{24}{12} \):
\[ = 2 \]
So, \( \frac{3}{4} \div \frac{3}{8} = 2 \).