We're dividing 105617 by 91 
The aim is to understand the frequency of 91 in 105617.

Step 1:
When dividing 1 by 91, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 91

Going ahead to step 2:
91 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 91

On to step 3:
The number 91 fits into 105 1 times, leaving a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
If we take 91 away from 105, we end up with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 91

Step 4:
91 can be fit into 146 1 times, resulting in a remainder of 55.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 55 after subtracting 91 from 146.
Include the next digit (1) from the dividend after 55, then repeat: 551 / 91

Advancing to step 5:
When dividing 551 by 91, we get 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
If we subtract 546 from 551, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 91

Let's proceed to step 6:
If we divide 57 by 91, we get 0 and a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 1160.0
The remainder is 57 after subtracting 0 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 7:
If we divide 570 by 91, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 1160.6
The remainder is 24 after subtracting 546 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
If we divide 240 by 91, we get 2 and a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 1160.62
Deduct 182 from 240 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 9:
91 can be fit into 580 6 times, resulting in a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 1160.626
If we subtract 546 from 580, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
When dividing 340 by 91, we get 3 with a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 1160.6263
Subtracting 273 from 340 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 11:
91 goes into 670 7 times with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 1160.62637
If we subtract 637 from 670, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 12:
91 goes into 330 3 times with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 1160.626373
Deduct 273 from 330 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 13:
The number 91 fits into 570 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 1160.6263736
If we subtract 546 from 570, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
240 divided by 91 is 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 1160.62637362
Subtract 182 from 240 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The quotient of the division is 1160.62637362, and the remainder is 5.8e-08.