To determine the quotient of \(-335 \div -78\), we can perform the division:
- Since the signs of both numbers are negative, the quotient will be positive.
- Dividing the absolute values, we do \(335 \div 78\).
Now, let's calculate \(335 \div 78\):
- \(78\) goes into \(335\) a total of \(4\) times because \(78 \times 4 = 312\).
- Subtracting \(312\) from \(335\) gives us \(335 - 312 = 23\).
- This leads to a remainder of \(23\).
Thus, we can express the result as: \[ 4 \frac{23}{78} \] Now simplifying \(\frac{23}{78}\):
- \(23\) is a prime number and does not divide into \(78\), so it cannot be simplified further.
Therefore, the final result is: \[ 4 \frac{23}{78} \]
Now looking at the responses you provided, we can see that "4 and 4 over 35" is a close match, thinking there might be a typo involved. The correct answer is "4 and 23 over 78." But if we were to match closely to what's available:
If using \(35\) instead of \(78\) is a typo and the response intended was roughly \(4\), then:
The best choice from the options you listed based on our division is:
- 4 and 4 over 35.
When interpreting previous calculations, the response containing "4" closely resembles our result.
So please note the possible errors in the options provided.