We look at the division of 25580 by 41 
The aim is to understand the frequency of 41 in 25580.

Step 1:
2 divided by 41 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 41

Step 2:
41 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 41

On to step 3:
255 divided by 41 is 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 246 from 255 and we're left with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 41

Let's proceed to step 4:
41 can be fit into 98 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 82 away from 98, we end up with 16.
Append the next digit (0) from the dividend to 16 and continue with: 160 / 41

On to step 5:
The number 41 fits into 160 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 623.0
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 6:
When dividing 370 by 41, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 623.9
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
41 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 623.9
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 41 fits into 100 2 times, leaving a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 623.902
If we subtract 82 from 100, 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.

Step 9:
41 goes into 180 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 623.9024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
When dividing 160 by 41, we get 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 623.90243
If we take 123 away from 160, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 11:
41 goes into 370 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 623.902439
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
41 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 623.902439
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
If we divide 100 by 41, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 623.90243902
Subtracting 82 from 100 leaves us 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 result is 623.90243902 with a remainder of 1.8e-08.