To divide \( \frac{3}{\frac{5}{6}} \), you can multiply by the reciprocal of \(\frac{5}{6}\):
\[ \frac{3}{\frac{5}{6}} = 3 \times \frac{6}{5} = \frac{18}{5} \]
Now, when we convert \(\frac{18}{5}\) into a mixed number, we divide 18 by 5:
- 5 goes into 18 three times (since \( 5 \times 3 = 15 \)).
- The remainder is \( 18 - 15 = 3 \).
Thus, we can express \(\frac{18}{5}\) as:
\[ 3\frac{3}{5} \]
So, you can make 3 whole units (like pieces or servings), but you have \( \frac{3}{5} \) left over.