11243 ÷ 41 
The aim is to understand the frequency of 41 in 11243.

Let's proceed to step 1:
41 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 41

Step 2:
If we divide 11 by 41, we get 0 and a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 41

Let's proceed to step 3:
If we divide 112 by 41, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 82 from 112, we get 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 41

Step 4:
When dividing 304 by 41, we get 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 27.0
The remainder is 17 after subtracting 287 from 304.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 41

Moving on to step 5:
If we divide 173 by 41, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 274.0
The remainder is 9 after subtracting 164 from 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 6:
90 divided by 41 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 274.2
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
If we divide 80 by 41, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 274.21
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
If we divide 390 by 41, we get 9 and a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 274.219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
If we divide 210 by 41, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 274.2195
Subtracting 205 from 210 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 274.21951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 274.219512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 274.2195121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 13:
390 divided by 41 is 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 274.21951219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final outcome is 274.21951219, with a leftover of 2.1e-08.