We're dividing 545365 by 41 
The aim is to understand the frequency of 41 in 545365.

Moving on to step 1:
If we divide 5 by 41, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 41

Step 2:
If we divide 54 by 41, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
If we take 41 away from 54, we end up with 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 41

Moving on to step 3:
When dividing 135 by 41, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 123 from 135 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 41

On to step 4:
The number 41 fits into 123 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 133.0
Deduct 123 from 123 and we're left with 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 41

Let's proceed to step 5:
6 divided by 41 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 1330.0
Subtract 0 from 6 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 41

Moving on to step 6:
41 goes into 65 1 times with a remainder of 24.
The next digit of our result is 1. 
Result so far: 13301.0
Deduct 41 from 65 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
41 can be fit into 240 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 13301.5
If we subtract 205 from 240, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 41 fits into 350 8 times, leaving a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 13301.58
If we take 328 away from 350, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
220 divided by 41 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 13301.585
The remainder is 15 after subtracting 205 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
When dividing 150 by 41, we get 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 13301.5853
The remainder is 27 after subtracting 123 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 11:
270 divided by 41 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 13301.58536
The remainder is 24 after subtracting 246 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
When dividing 240 by 41, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 13301.585365
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 13:
350 divided by 41 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 13301.5853658
If we subtract 328 from 350, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
41 goes into 220 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 13301.58536585
Deduct 205 from 220 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 13301.58536585 with a remaining 1.5e-08.