115317 divided by 41 
The aim is to understand the frequency of 41 in 115317.

Moving on to step 1:
1 divided by 41 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 41

Moving on to step 2:
41 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 41

Step 3:
If we divide 115 by 41, we get 2 and a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 33 after subtracting 82 from 115.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 41

Moving on to step 4:
41 goes into 333 8 times with a remainder of 5.
The next digit of our result is 8. 
Result so far: 28.0
The remainder is 5 after subtracting 328 from 333.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 41

Advancing to step 5:
51 divided by 41 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 281.0
Subtracting 41 from 51 leaves us with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 41

Advancing to step 6:
107 divided by 41 is 2 with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 2812.0
If we subtract 82 from 107, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
When dividing 250 by 41, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2812.6
If we take 246 away from 250, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 2812.6
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
41 can be fit into 400 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 2812.609
Subtracting 369 from 400 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 10:
If we divide 310 by 41, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 2812.6097
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
41 can be fit into 230 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 2812.60975
Subtract 205 from 230 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 12:
If we divide 250 by 41, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 2812.609756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 41 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 2812.609756
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
If we divide 400 by 41, we get 9 and a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 2812.60975609
Subtract 369 from 400 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final outcome is 2812.60975609, with a leftover of 3.1e-08.