We look at the division of 261165 by 41 
The aim is to understand the frequency of 41 in 261165.

Let's proceed to step 1:
2 divided by 41 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 41

Let's proceed to step 2:
The number 41 fits into 26 0 times, leaving a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 41

Advancing to step 3:
41 goes into 261 6 times with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 246 from 261 leaves us with 15.
Bring next digit (1) of the dividend behind the 15 and repeat the process: 151 / 41

Step 4:
151 divided by 41 is 3 with a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we subtract 123 from 151, we get 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 41

Moving on to step 5:
The number 41 fits into 286 6 times, leaving a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 636.0
Deduct 246 from 286 and we're left with 40.
Append the next digit (5) from the dividend to 40 and continue with: 405 / 41

Step 6:
41 goes into 405 9 times with a remainder of 36.
Write down 9 as next digit of the result. 
Result so far: 6369.0
Deduct 369 from 405 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
When dividing 360 by 41, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 6369.8
Subtract 328 from 360 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
If we divide 320 by 41, we get 7 and a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 6369.87
If we subtract 287 from 320, 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.

Step 9:
If we divide 330 by 41, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 6369.878
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
The number 41 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6369.878
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 11:
41 goes into 200 4 times with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 6369.87804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
If we divide 360 by 41, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 6369.878048
Deduct 328 from 360 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 13:
320 divided by 41 is 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 6369.8780487
If we subtract 287 from 320, 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.

Moving on to step 14:
330 divided by 41 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 6369.87804878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 6369.87804878 with a balance of 2e-09.