557809 divided by 9 
The aim is to understand the frequency of 9 in 557809.

Advancing to step 1:
9 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 9

Let's proceed to step 2:
55 divided by 9 is 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 54 from 55, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 9

On to step 3:
9 can be fit into 17 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 9 from 17 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 9

Let's proceed to step 4:
88 divided by 9 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 619.0
If we take 81 away from 88, we end up with 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 9

Moving on to step 5:
9 goes into 70 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 6197.0
Subtract 63 from 70 to get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 9

Step 6:
If we divide 79 by 9, we get 8 and a remainder of 7.
The next digit of our result is 8. 
Result so far: 61978.0
Deduct 72 from 79 and we're left 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.

Moving on to step 7:
9 can be fit into 70 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 61978.7
If we subtract 63 from 70, we 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.

Let's proceed to step 8:
70 divided by 9 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 61978.77
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.

After the division, we end up with 61978.77 and a remainder of 0.007.