We're dividing 107938 by 91 
Let's see how many times 91 fits into 107938.

Advancing to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 91

Advancing to step 2:
91 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.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 91

Advancing to step 3:
91 goes into 107 1 times with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 91 from 107 leaves us with 16.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 91

Moving on to step 4:
91 goes into 169 1 times with a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 91 from 169, we get 78.
Fetch the next digit (3) from the dividend, attach it to 78 and continue: 783 / 91

On to step 5:
If we divide 783 by 91, we get 8 and a remainder of 55.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we subtract 728 from 783, we get 55.
Fetch the next digit (8) from the dividend, attach it to 55 and continue: 558 / 91

Going ahead to step 6:
The number 91 fits into 558 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1186.0
Deduct 546 from 558 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
The number 91 fits into 120 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1186.1
Subtracting 91 from 120 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 8:
91 can be fit into 290 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 1186.13
Subtract 273 from 290 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
When dividing 170 by 91, we get 1 with a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 1186.131
Subtracting 91 from 170 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 10:
91 goes into 790 8 times with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 1186.1318
Deduct 728 from 790 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 11:
If we divide 620 by 91, we get 6 and a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 1186.13186
Deduct 546 from 620 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 12:
If we divide 740 by 91, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1186.131868
If we take 728 away from 740, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
91 goes into 120 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1186.1318681
If we take 91 away from 120, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 14:
The number 91 fits into 290 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1186.13186813
If we subtract 273 from 290, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 1186.13186813, with a leftover of 1.7e-08.