To divide by a fraction, you can multiply by its reciprocal.
So, \( 4 \div \frac{3}{4} \) can be rewritten as:
\[ 4 \times \frac{4}{3} \]
Now, calculate that:
\[ 4 \times \frac{4}{3} = \frac{16}{3} \]
Thus, \( 4 \div \frac{3}{4} = \frac{16}{3} \).
If you want a mixed number, you can also express it as:
\[ 5 \frac{1}{3} \]
So the final answer is \( \frac{16}{3} \) or \( 5 \frac{1}{3} \).