To find the quotient of \(-78\) divided by \(-15\), we can divide the two numbers and then simplify.
\[ \frac{-78}{-15} = \frac{78}{15} \]
Now, we simplify \(\frac{78}{15}\):
- Divide both the numerator and denominator by the greatest common divisor, which is 3:
\[ \frac{78 \div 3}{15 \div 3} = \frac{26}{5} \]
Now, we convert \(\frac{26}{5}\) into a mixed number:
\[ \frac{26}{5} = 5 \frac{1}{5} \]
So, the quotient of \(-78\) divided by \(-15\) is \(5 \frac{1}{5}\).
Now, let's match this with the provided response options:
- 438
- \(4 \frac{3}{8}\)
- 557
- \(5 \frac{5}{7}\)
- \(-438\)
- \(-4 \frac{3}{8}\)
- 740
None of the provided options exactly match \(5 \frac{1}{5}\), but there's a possibility that there might be an error in the options. From the calculations, the final answer to your question is \(5\) and \(\frac{1}{5}\).