We're dividing 421181 by 9 
The aim is to understand the frequency of 9 in 421181.

Advancing to step 1:
9 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 9

Moving on to step 2:
42 divided by 9 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 36 away from 42, we end up with 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 9

Moving on to step 3:
9 goes into 61 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 46.0
If we take 54 away from 61, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Moving on to step 4:
If we divide 71 by 9, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 467.0
The remainder is 8 after subtracting 63 from 71.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 9

Step 5:
If we divide 88 by 9, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 4679.0
The remainder is 7 after subtracting 81 from 88.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 9

Let's proceed to step 6:
The number 9 fits into 71 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 46797.0
Subtract 63 from 71 to 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.

Moving on to step 7:
The number 9 fits into 80 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 46797.8
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 46797.88
If we take 72 away from 80, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 46797.88, with a leftover of 0.008.