We're dividing 108126 by 91 
Our goal is to divide 108126 by 91.

Going ahead to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 91

Moving on to step 2:
91 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 91

Moving on to step 3:
When dividing 108 by 91, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 91 away from 108, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 91

Moving on to step 4:
When dividing 171 by 91, we get 1 with a remainder of 80.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 91 from 171 leaves us with 80.
Grab the next digit (2) from the dividend, add it to 80, then carry on: 802 / 91

Let's proceed to step 5:
91 can be fit into 802 8 times, resulting in a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we take 728 away from 802, we end up with 74.
Fetch the next digit (6) from the dividend, attach it to 74 and continue: 746 / 91

Let's proceed to step 6:
746 divided by 91 is 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 1188.0
Subtract 728 from 746 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
180 divided by 91 is 1 with a remainder of 89.
Write down 1 as next digit of the result. 
Result so far: 1188.1
If we subtract 91 from 180, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Let's proceed to step 8:
When dividing 890 by 91, we get 9 with a remainder of 71.
The next digit of our result is 9. 
Result so far: 1188.19
Subtract 819 from 890 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Moving on to step 9:
If we divide 710 by 91, we get 7 and a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 1188.197
The remainder is 73 after subtracting 637 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 10:
When dividing 730 by 91, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1188.1978
Deduct 728 from 730 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
20 divided by 91 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1188.1978
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 12:
The number 91 fits into 200 2 times, leaving a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 1188.197802
If we subtract 182 from 200, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
91 can be fit into 180 1 times, resulting in a remainder of 89.
Write down 1 as next digit of the result. 
Result so far: 1188.1978021
Subtract 91 from 180 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 14:
If we divide 890 by 91, we get 9 and a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 1188.19780219
Subtract 819 from 890 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The quotient of the division is 1188.19780219, and the remainder is 7.1e-08.