To divide 11 by -4, we can start by performing the division:
\[ \frac{11}{-4} = -\frac{11}{4} \]
Next, we can convert \(-\frac{11}{4}\) into a mixed number. First, we divide 11 by 4:
- 4 goes into 11 two times (since \(4 \times 2 = 8\)).
- The remainder is \(11 - 8 = 3\).
Thus, we can express \(-\frac{11}{4}\) as:
\[ -2 \frac{3}{4} \]
So the final answer, as a mixed number with the correct sign, is:
\[ -2 \frac{3}{4} \]