We look at the division of 126125 by 41 
The aim is to understand the frequency of 41 in 126125.

Advancing to step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 41

Moving on to step 2:
If we divide 12 by 41, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 41

On to step 3:
126 divided by 41 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 123 from 126 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 41

Let's proceed to step 4:
41 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
If we take 0 away from 31, we end up with 31.
Append the next digit (2) from the dividend to 31 and continue with: 312 / 41

Let's proceed to step 5:
If we divide 312 by 41, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 307.0
Subtract 287 from 312 to get 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 41

Going ahead to step 6:
255 divided by 41 is 6 with a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 3076.0
If we take 246 away from 255, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 41, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 3076.2
If we take 82 away from 90, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
When dividing 80 by 41, we get 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 3076.21
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
41 goes into 390 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 3076.219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
41 goes into 210 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 3076.2195
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
41 goes into 50 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 3076.21951
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
If we divide 90 by 41, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 3076.219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
41 goes into 80 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 3076.2195121
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
390 divided by 41 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 3076.21951219
If we take 369 away from 390, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 3076.21951219 with a balance of 2.1e-08.