540475 ÷ 41 
The aim is to understand the frequency of 41 in 540475.

On to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 41

Moving on to step 2:
41 goes into 54 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 41 from 54, we get 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 41

Step 3:
41 can be fit into 130 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 123 from 130, we get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 41

On to step 4:
If we divide 74 by 41, we get 1 and a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 131.0
Subtracting 41 from 74 leaves us with 33.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 41

Let's proceed to step 5:
If we divide 337 by 41, we get 8 and a remainder of 9.
The next digit of our result is 8. 
Result so far: 1318.0
Subtracting 328 from 337 leaves us with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 41

Let's proceed to step 6:
If we divide 95 by 41, we get 2 and a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 13182.0
If we subtract 82 from 95, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
41 can be fit into 130 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 13182.3
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
41 goes into 70 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 13182.31
If we subtract 41 from 70, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 9:
290 divided by 41 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 13182.317
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.

Step 10:
30 divided by 41 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 13182.317
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.

Moving on to step 11:
41 goes into 300 7 times with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 13182.31707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
The number 41 fits into 130 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13182.317073
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.

On to step 13:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 13182.3170731
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.

Step 14:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 13182.31707317
If we take 287 away from 290, we end up 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.

In conclusion, the division gives 13182.31707317 with a balance of 3e-09.