We're dividing 586400 by 9 
The aim is to understand the frequency of 9 in 586400.

Step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 9

Advancing to step 2:
9 goes into 58 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 54 from 58, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 9

Let's proceed to step 3:
46 divided by 9 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 65.0
The remainder is 1 after subtracting 45 from 46.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 9

Advancing to step 4:
The number 9 fits into 14 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 651.0
If we subtract 9 from 14, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 9

Advancing to step 5:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6515.0
Subtracting 45 from 50 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 9

Step 6:
9 goes into 50 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 65155.0
Deduct 45 from 50 and we're left 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.

Let's proceed to step 7:
50 divided by 9 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 65155.5
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 65155.55
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 quotient of the division is 65155.55, and the remainder is 0.005.