To find the quotient when dividing \(-1011\) by \(-25\), we can perform the division:
\[ \frac{-1011}{-25} = \frac{1011}{25} \]
Next, we can carry out the division:
- \(25\) goes into \(101\) \(4\) times since \(25 \times 4 = 100\).
- Subtract \(100\) from \(101\) to get \(1\).
- Bring down the next digit \(1\) to make it \(11\).
- \(25\) does not go into \(11\) (which means it goes \(0\) times).
- Thus, we have \(4.0\) from the \(25\) (from \(100\)).
Now we express it as:
\[ \frac{1011}{25} = 40 + \frac{11}{25} \]
To convert \(11/25\) to a decimal, it is approximately \(0.44\).
So the result can be summarized as:
\[ 40 + 0.44 = 40.44 \]
But returning to the specific responses given, we should write \(40\) as \(40\) and add the fractional part:
In mixed number, \(40\) can be depicted as:
Which provides:
\[ 40 + \frac{11}{25} \]
There are no responses directly comparing this division, but if we evaluate numerically, it lays around the concept that \(\frac{1011}{25}\) derives as:
40 and \(0.44\) close to \(4\) (hence miss set \(4 and 11\) in the conversion).
So the numbering isn't matching with standard forms; so report as \(\sim \frac{4}{11} \).
Returning to the original options, and we can pick as closely related:
Answer: \(40\) in recognized simple mixed responses.
Thus it's proper to conclude the quotient of \(-1011\) divided by \(-25\) gives Answer: \(40\) making the design to align accurately throughout checks within.