We're dividing 225634 by 41 
The aim is to understand the frequency of 41 in 225634.

Going ahead to step 1:
When dividing 2 by 41, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 41

Step 2:
The number 41 fits into 22 0 times, leaving a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 22 after subtracting 0 from 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 41

Moving on to step 3:
41 goes into 225 5 times with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 205 from 225, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 41

Moving on to step 4:
41 goes into 206 5 times with a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we subtract 205 from 206, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 41

Advancing to step 5:
41 can be fit into 13 0 times, resulting in a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 550.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (4) from the dividend and append it to 13, then repeat: 134 / 41

Moving on to step 6:
134 divided by 41 is 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 5503.0
If we subtract 123 from 134, 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.

Going ahead to step 7:
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: 5503.2
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.

Advancing to step 8:
280 divided by 41 is 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 5503.26
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
If we divide 340 by 41, we get 8 and a remainder of 12.
The next digit of our result is 8. 
Result so far: 5503.268
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
41 can be fit into 120 2 times, resulting in a remainder of 38.
The next digit of our result is 2. 
Result so far: 5503.2682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
If we divide 380 by 41, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 5503.26829
Subtract 369 from 380 to 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.

On to step 12:
41 goes into 110 2 times with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 5503.268292
Subtract 82 from 110 to 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.

Going ahead to step 13:
The number 41 fits into 280 6 times, leaving a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 5503.2682926
Subtract 246 from 280 to 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 14:
If we divide 340 by 41, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 5503.26829268
If we take 328 away from 340, we end up 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.

In conclusion, the division gives 5503.26829268 with a balance of 1.2e-08.