We're dividing 108966 by 11 
Let's see how many times 11 fits into 108966.

Step 1:
11 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 11

Advancing to step 2:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 11

Going ahead to step 3:
11 goes into 108 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 99 from 108 leaves us with 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 11

Advancing to step 4:
When dividing 99 by 11, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 99.0
If we subtract 99 from 99, we get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 11

Let's proceed to step 5:
11 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 990.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 11

Going ahead to step 6:
66 divided by 11 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 9906.0
Deduct 66 from 66 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
0 divided by 11 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 9906.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
0 divided by 11 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 9906.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 9906.0, with a leftover of 0.0.