Let's divide 102741 by 91
We want to divide 102741 by 91.

Step 1:
91 goes into 1 0 times with 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.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 91

Step 2:
When dividing 10 by 91, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 91

Going ahead to step 3:
102 divided by 91 is 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we take 91 away from 102, we end up with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 91

Let's proceed to step 4:
91 goes into 117 1 times with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 91 from 117 and we're left with 26.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 91

Step 5:
The number 91 fits into 264 2 times, leaving a remainder of 82.
The next digit of our result is 2. 
Result so far: 112.0
Subtract 182 from 264 to get 82.
Fetch the next digit (1) from the dividend, attach it to 82 and continue: 821 / 91

Advancing to step 6:
When dividing 821 by 91, we get 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 1129.0
If we subtract 819 from 821, we 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.

Advancing to step 7:
When dividing 20 by 91, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1129.0
Deduct 0 from 20 and we're left 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.

On to step 8:
91 can be fit into 200 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1129.02
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.

On to step 9:
91 goes into 180 1 times with a remainder of 89.
Use 1 as the next digit of our solution. 
Result so far: 1129.021
Deduct 91 from 180 and we're left with 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 10:
890 divided by 91 is 9 with a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 1129.0219
Subtracting 819 from 890 leaves us 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.

Going ahead to step 11:
91 goes into 710 7 times with a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 1129.02197
Subtracting 637 from 710 leaves us 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.

Let's proceed to step 12:
91 can be fit into 730 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 1129.021978
The remainder is 2 after subtracting 728 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
91 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1129.021978
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.

Let's proceed to step 14:
91 goes into 200 2 times with a remainder of 18.
The next digit of our result is 2. 
Result so far: 1129.02197802
Deduct 182 from 200 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 1129.02197802, with a leftover of 1.8e-08.