We're dividing 109201 by 11 
We want to figure out the number of times 109201 can be divided by 11.

Going ahead to step 1:
11 can be fit into 1 0 times, resulting in 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.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 11

Moving on to step 2:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 11

Advancing to step 3:
109 divided by 11 is 9 with a remainder of 10.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 99 from 109 to get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 11

Going ahead to step 4:
When dividing 102 by 11, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 99.0
The remainder is 3 after subtracting 99 from 102.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 11

Step 5:
30 divided by 11 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 992.0
The remainder is 8 after subtracting 22 from 30.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 11

On to step 6:
11 goes into 81 7 times with a remainder of 4.
The next digit of our result is 7. 
Result so far: 9927.0
The remainder is 4 after subtracting 77 from 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
If we divide 40 by 11, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 9927.3
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.

Moving on to step 8:
If we divide 70 by 11, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 9927.36
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 9:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 9927.363
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.

Step 10:
If we divide 70 by 11, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 9927.3636
Deduct 66 from 70 and we're left 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.

Step 11:
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: 9927.36363
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.

Advancing to step 12:
11 goes into 70 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 9927.363636
If we take 66 away from 70, we end up 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.

Going ahead to step 13:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 9927.3636363
Deduct 33 from 40 and we're left 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 14:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 9927.36363636
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.

After the division, we end up with 9927.36363636 and a remainder of 4e-09.