We're dividing 41027 by 9 
The aim is to understand the frequency of 9 in 41027.

Moving on to step 1:
If we divide 4 by 9, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 9

Step 2:
The number 9 fits into 41 4 times, leaving a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 36 from 41 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Let's proceed to step 3:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtract 45 from 50 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 9

Step 4:
52 divided by 9 is 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 455.0
Deduct 45 from 52 and we're left with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 9

Advancing to step 5:
9 can be fit into 77 8 times, resulting in a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 4558.0
Subtracting 72 from 77 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.

Advancing to step 6:
The number 9 fits into 50 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 4558.5
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 9 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4558.55
Subtracting 45 from 50 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.

The final outcome is 4558.55, with a leftover of 0.005.