Let's divide 543 by 41
The aim is to understand the frequency of 41 in 543.

Let's proceed to step 1:
41 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 41

Step 2:
When dividing 54 by 41, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 13 after subtracting 41 from 54.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 41

Step 3:
133 divided by 41 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 123 from 133 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 4:
100 divided by 41 is 2 with a remainder of 18.
The next digit of our result is 2. 
Result so far: 13.2
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 5:
If we divide 180 by 41, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 13.24
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
160 divided by 41 is 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 13.243
The remainder is 37 after subtracting 123 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
41 goes into 370 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 13.2439
The remainder is 1 after subtracting 369 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 41 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 13.2439
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
When dividing 100 by 41, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 13.243902
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
41 goes into 180 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 13.2439024
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
41 can be fit into 160 3 times, resulting in a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 13.24390243
Deduct 123 from 160 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Our division results in 13.24390243 with a remaining 3.7e-08.