We look at the division of 127103 by 41 
The aim is to understand the frequency of 41 in 127103.

Advancing to step 1:
If we divide 1 by 41, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 41

Let's proceed to step 2:
41 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 41

Let's proceed to step 3:
If we divide 127 by 41, we get 3 and a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 123 from 127, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 41

On to step 4:
41 can be fit into 41 1 times, resulting in a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Subtract 41 from 41 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 41

Advancing to step 5:
41 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 310.0
If we take 0 away from 0, we end up with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 41

Going ahead to step 6:
The number 41 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 3100.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
30 divided by 41 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3100.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 41 fits into 300 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 3100.07
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
When dividing 130 by 41, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3100.073
If we subtract 123 from 130, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
If we divide 70 by 41, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 3100.0731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
The number 41 fits into 290 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 3100.07317
The remainder is 3 after subtracting 287 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
When dividing 30 by 41, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3100.07317
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
If we divide 300 by 41, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 3100.0731707
Subtracting 287 from 300 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
130 divided by 41 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3100.07317073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 3100.07317073 with a remainder of 7e-09.