Let's divide 126428 by 41
The aim is to understand the frequency of 41 in 126428.

Advancing to step 1:
When dividing 1 by 41, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 41

Let's proceed to step 2:
41 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 41

Step 3:
126 divided by 41 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 3 after subtracting 123 from 126.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 41

Let's proceed to step 4:
41 can be fit into 34 0 times, resulting in a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 30.0
If we subtract 0 from 34, we get 34.
Grab the next digit (2) from the dividend, add it to 34, then carry on: 342 / 41

Step 5:
41 goes into 342 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 308.0
Deduct 328 from 342 and we're left with 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 41

Advancing to step 6:
When dividing 148 by 41, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 3083.0
If we take 123 away from 148, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
The number 41 fits into 250 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 3083.6
The remainder is 4 after subtracting 246 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 41 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 3083.6
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 3083.609
Subtracting 369 from 400 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 10:
41 can be fit into 310 7 times, resulting in a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 3083.6097
If we take 287 away from 310, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
41 can be fit into 230 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3083.60975
The remainder is 25 after subtracting 205 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 12:
If we divide 250 by 41, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 3083.609756
Subtracting 246 from 250 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
When dividing 40 by 41, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 3083.609756
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
41 can be fit into 400 9 times, resulting in a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 3083.60975609
The remainder is 31 after subtracting 369 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

In conclusion, the division gives 3083.60975609 with a balance of 3.1e-08.