We look at the division of 260511 by 41 
The aim is to understand the frequency of 41 in 260511.

Moving on to step 1:
2 divided by 41 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 41

Advancing 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
Subtracting 0 from 26 leaves us with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 41

Step 3:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 14 after subtracting 246 from 260.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 41

Step 4:
If we divide 145 by 41, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 63.0
If we take 123 away from 145, we end up with 22.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 41

Moving on to step 5:
If we divide 221 by 41, we get 5 and a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 635.0
The remainder is 16 after subtracting 205 from 221.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 41

Going ahead to step 6:
The number 41 fits into 161 3 times, leaving a remainder of 38.
Record the quotient 3 as the next digit in the result. 
Result so far: 6353.0
Deduct 123 from 161 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
380 divided by 41 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 6353.9
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 6353.92
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
When dividing 280 by 41, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 6353.926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6353.9268
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
If we divide 120 by 41, we get 2 and a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 6353.92682
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
380 divided by 41 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 6353.926829
Deduct 369 from 380 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
110 divided by 41 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 6353.9268292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
If we divide 280 by 41, we get 6 and a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 6353.92682926
If we subtract 246 from 280, 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.

The final result is 6353.92682926 with a remainder of 3.4e-08.