85584 divided by 90 
The aim is to understand the frequency of 90 in 85584.

On to step 1:
90 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 90

On to step 2:
90 goes into 85 0 times with a remainder of 85.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 85, we get 85.
Include the next digit (5) from the dividend after 85, then repeat: 855 / 90

Going ahead to step 3:
855 divided by 90 is 9 with a remainder of 45.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 810 from 855 to get 45.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 90

Moving on to step 4:
90 goes into 458 5 times with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Deduct 450 from 458 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 90

Let's proceed to step 5:
90 goes into 84 0 times with a remainder of 84.
Use 0 as the next digit of our solution. 
Result so far: 950.0
The remainder is 84 after subtracting 0 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 6:
90 can be fit into 840 9 times, resulting in a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 950.9
Deduct 810 from 840 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
300 divided by 90 is 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 950.93
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 90 is 3 with a remainder of 30.
The next digit of our result is 3. 
Result so far: 950.933
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 950.933 with a remaining 0.003.