Let's divide 82107 by 41
The aim is to understand the frequency of 41 in 82107.

Going ahead to step 1:
When dividing 8 by 41, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 41

Moving on to step 2:
41 can be fit into 82 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 82 from 82 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 41

Going ahead to step 3:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 20.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 41

Moving on to step 4:
The number 41 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 200.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 41

Going ahead to step 5:
If we divide 107 by 41, we get 2 and a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 2002.0
If we take 82 away from 107, 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 6:
When dividing 250 by 41, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2002.6
Subtract 246 from 250 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
41 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2002.6
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
41 can be fit into 400 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 2002.609
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.

Step 9:
If we divide 310 by 41, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 2002.6097
Subtracting 287 from 310 leaves us 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 10:
41 can be fit into 230 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2002.60975
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.

Step 11:
250 divided by 41 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 2002.609756
Deduct 246 from 250 and we're left 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.

Advancing to step 12:
41 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 2002.609756
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 13:
400 divided by 41 is 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 2002.60975609
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 2002.60975609 with a balance of 3.1e-08.