To divide \(-71.24\) by \(0.4\), you can set it up as follows:
\[ \frac{-71.24}{0.4} \]
To perform the division, we can eliminate the decimal by multiplying both the numerator and the denominator by \(10\):
\[ \frac{-71.24 \times 10}{0.4 \times 10} = \frac{-712.4}{4} \]
Now, perform the division:
\[ -712.4 \div 4 = -178.1 \]
Thus, the quotient of \(-71.24 ÷ 0.4\) is \(-178.1\).
So, the correct response is:
−178.1 (negative 178.1)