431577 divided by 9 
The aim is to understand the frequency of 9 in 431577.

Moving on 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
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 2:
9 can be fit into 43 4 times, resulting in a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 36 from 43 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 9

Step 3:
The number 9 fits into 71 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 47.0
If we subtract 63 from 71, we get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 9

Advancing to step 4:
9 can be fit into 85 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 479.0
Deduct 81 from 85 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 9

Moving on to step 5:
9 goes into 47 5 times with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 4795.0
If we subtract 45 from 47, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 9

Moving on to step 6:
The number 9 fits into 27 3 times, leaving a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 47953.0
The remainder is 0 after subtracting 27 from 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
9 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 47953.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
0 divided by 9 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 47953.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 47953.0, with a leftover of 0.0.