To find the quotient of \(-1011\) divided by \(-25\), we perform the division:
\[ -1011 \div -25 = \frac{1011}{25} \]
Now, we calculate \( 1011 \div 25 \):
- \(25\) goes into \(101\) (the first three digits of \(1011\)) 4 times (since \(25 \times 4 = 100\)).
Subtracting \(100\) from \(101\) leaves us with a remainder of \(1\).
Next, we bring down the next digit (which is \(1\) from \(1011\)), making it \(11\). Now, we need to find how many times \(25\) fits into \(11\), which is \(0\) times.
So, we bring down the last digit from \(1011\) to get \(111\).
Now, we divide \(111\) by \(25\):
- \(25\) fits into \(111\) 4 times (since \(25 \times 4 = 100\)).
Subtracting \(100\) from \(111\), we have a remainder of \(11\).
Putting this all together, the division gives us:
\[ 1011 \div 25 = 40 \quad \text{with a remainder of } 11. \]
Thus, we can express this as:
\[ 40 + \frac{11}{25} \]
However, if we want just the integer part (the quotient), it is \(40\).
Therefore, the quotient when you divide \(-1011\) by \(-25\) is:
\[ \boxed{40} \]
17 answers