To find the quotient of 6 divided by \( \frac{3}{4} \), you can multiply 6 by the reciprocal of \( \frac{3}{4} \).
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
So, you calculate:
\[ 6 \div \frac{3}{4} = 6 \times \frac{4}{3} \]
Now, let's simplify this:
\[ 6 \times \frac{4}{3} = \frac{6 \times 4}{3} = \frac{24}{3} = 8 \]
Therefore, the quotient of 6 divided by \( \frac{3}{4} \) is \( 8 \).
The answer is 8.