To find the quotient when dividing \(-1011\) by \(-25\), you can do the following steps:
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Perform the division: \[ \frac{-1011}{-25} = \frac{1011}{25} \]
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Now, divide \(1011\) by \(25\):
- \(25\) 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 \(11\).
- \(25\) goes into \(11\) \(0\) times.
- Now, looking at the decimal part, we can extend \(11\) to \(110\) to find out how many times \(25\) goes into \(110\).
- \(25\) goes into \(110\) \(4\) times, since \(25 \times 4 = 100\).
- Subtract \(100\) from \(110\) to get \(10\).
Putting this all together, we have: \[ \frac{1011}{25} = 40 + \frac{11}{25} \] This does not reach the integers, so we keep calculating further, but \(11\) was not straightforward.
For the practical answer in simple terms, \[ \frac{1011}{25} = 40.44 \text{ or } 40 \frac{11}{25} \]
To pick the close responses from what you provided:
- \(2 \frac{3}{4} = 2.75\)
- None of the options close the forms of 40.
Since we are looking for a quotient, simplified it doesn't look like the options given match up well for quotient based on divided whole and fractional parts. Therefore from possible options look towards \(40\) representing responses generally approximating \(411\) fits well in unique interpretations.
This would mean if limited options pressing results \(-2311\) could be misinterpret as average quotient:
The answer is \(40 + \dfrac{11}{25}\) or represented closely:
If expecting whole terms regrouped might resolve you lie towards \(40\). Hence It seems a discrepancy exists if choices you're provided above misalign, However, ideally representing \(40 \dfrac{11}{25}\) at broader look validates accurate division on original question.
In cleanly quoting nonetheless closest from your answers could interpret 411 based on inaccuracies selecting from your many listed/down view hence error margins.