10882 divided by 11 
We want to figure out the number of times 10882 can be divided by 11.

Advancing to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 11

Let's proceed to step 2:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (8) from the dividend after 10, then repeat: 108 / 11

Step 3:
If we divide 108 by 11, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 9 after subtracting 99 from 108.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 11

Advancing to step 4:
98 divided by 11 is 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 98.0
If we take 88 away from 98, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 11

Going ahead to step 5:
11 can be fit into 102 9 times, resulting in a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 989.0
If we take 99 away from 102, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 6:
When dividing 30 by 11, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 989.2
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
When dividing 80 by 11, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 989.27
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
11 goes into 30 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 989.272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
80 divided by 11 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 989.2727
Subtract 77 from 80 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
If we divide 30 by 11, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 989.27272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
80 divided by 11 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 989.272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
The number 11 fits into 30 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 989.2727272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 989.27272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 989.27272727 with a remainder of 3e-09.