We look at the division of 107742 by 91 
We're looking to find how many times 91 goes into 107742.

Let's proceed to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 91

Let's proceed to step 2:
91 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 91

Going ahead to step 3:
91 goes into 107 1 times with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 16 after subtracting 91 from 107.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 91

On to step 4:
167 divided by 91 is 1 with a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtract 91 from 167 to get 76.
Append the next digit (4) from the dividend to 76 and continue with: 764 / 91

Step 5:
764 divided by 91 is 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
If we take 728 away from 764, we end up with 36.
Bring next digit (2) of the dividend behind the 36 and repeat the process: 362 / 91

Moving on to step 6:
When dividing 362 by 91, we get 3 with a remainder of 89.
The next digit of our result is 3. 
Result so far: 1183.0
Subtract 273 from 362 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.

Going ahead to step 7:
91 goes into 890 9 times with a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 1183.9
Deduct 819 from 890 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 8:
The number 91 fits into 710 7 times, leaving a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 1183.97
If we subtract 637 from 710, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 9:
If we divide 730 by 91, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1183.978
Subtract 728 from 730 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
91 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1183.978
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
200 divided by 91 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1183.97802
Subtract 182 from 200 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.

On to step 12:
The number 91 fits into 180 1 times, leaving a remainder of 89.
The next digit of our result is 1. 
Result so far: 1183.978021
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 13:
If we divide 890 by 91, we get 9 and a remainder of 71.
Write down 9 as next digit of the result. 
Result so far: 1183.9780219
Deduct 819 from 890 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Let's proceed to step 14:
The number 91 fits into 710 7 times, leaving a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 1183.97802197
Deduct 637 from 710 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

The quotient of the division is 1183.97802197, and the remainder is 7.3e-08.