To divide 4 by \( \frac{3}{4} \), you can multiply 4 by the reciprocal of \( \frac{3}{4} \).
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
So, you calculate:
\[ 4 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3} \]
Thus, \( 4 \div \frac{3}{4} = \frac{16}{3} \) or approximately \( 5.\overline{3} \).