We're dividing 414304 by 9 
The aim is to understand the frequency of 9 in 414304.

Advancing to step 1:
When dividing 4 by 9, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 9

Moving on to step 2:
9 can be fit into 41 4 times, resulting in a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 36 from 41 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Advancing to step 3:
If we divide 54 by 9, we get 6 and a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
Subtract 54 from 54 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 9

Moving on to step 4:
If we divide 3 by 9, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 460.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 9

Step 5:
9 goes into 30 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 4603.0
If we subtract 27 from 30, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 9

Step 6:
If we divide 34 by 9, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 46033.0
If we take 27 away from 34, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
9 can be fit into 70 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 46033.7
Subtracting 63 from 70 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 9, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 46033.77
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 46033.77 with a remainder of 0.007.