We're dividing 101155 by 11 
We're looking to find how many times 11 goes into 101155.

Advancing to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 11

On to step 2:
When dividing 10 by 11, we get 0 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 (1) from the dividend after 10, then repeat: 101 / 11

Advancing to step 3:
If we divide 101 by 11, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 99 from 101 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

Going ahead to step 4:
If we divide 21 by 11, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 91.0
If we subtract 11 from 21, we get 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 11

Step 5:
105 divided by 11 is 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 919.0
Subtract 99 from 105 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 11

Moving on to step 6:
11 goes into 65 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 9195.0
Subtract 55 from 65 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 9195.9
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9195.9
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 9195.909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9195.909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
If we divide 100 by 11, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 9195.90909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9195.90909
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 9195.9090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
When dividing 10 by 11, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 9195.9090909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 9195.9090909 and a remainder of 1e-08.