106575 divided by 11 
We're looking to find how many times 11 goes into 106575.

Advancing to step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 11

Advancing to step 2:
If we divide 10 by 11, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 11

Going ahead to step 3:
11 can be fit into 106 9 times, resulting in a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 99 from 106, we get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 11

Advancing to step 4:
11 goes into 75 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
If we take 66 away from 75, we end up with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 11

On to step 5:
97 divided by 11 is 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 968.0
Subtract 88 from 97 to get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 11

Advancing to step 6:
The number 11 fits into 95 8 times, leaving a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 9688.0
Subtract 88 from 95 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 9688.6
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 11, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 9688.63
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 9688.636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 9688.6363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 9688.63636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The next digit of our result is 3. 
Result so far: 9688.636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
11 goes into 70 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 9688.6363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
When dividing 40 by 11, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 9688.63636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 9688.63636363 with a balance of 7e-09.