To solve the division \( 4 \div \frac{1}{3} \), you can multiply 4 by the reciprocal of \( \frac{1}{3} \).
The reciprocal of \( \frac{1}{3} \) is \( 3 \).
So, the calculation becomes:
\[ 4 \div \frac{1}{3} = 4 \times 3 \]
Now, performing the multiplication:
\[ 4 \times 3 = 12 \]
Thus, the quotient of \( 4 \div \frac{1}{3} \) is \( 12 \).
So, the final answer is:
\[ 12 \]