To find the quotient of \(-\frac{1}{4} \div 4\), you can rewrite the division as multiplying by the reciprocal of 4:
\[ -\frac{1}{4} \div 4 = -\frac{1}{4} \times \frac{1}{4} \]
Now, multiply the fractions:
\[ -\frac{1 \times 1}{4 \times 4} = -\frac{1}{16} \]
Thus, the answer is \(-\frac{1}{16}\).
So, the correct response is:
− 1/16 (negative 1 over 16).