Let's divide 584920 by 90
Our goal is to divide 584920 by 90.

Going ahead to step 1:
When dividing 5 by 90, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 90

Step 2:
If we divide 58 by 90, we get 0 and a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 90

Let's proceed to step 3:
90 goes into 584 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 540 from 584, we get 44.
Take the next digit (9) from the dividend and append it to 44, then repeat: 449 / 90

Advancing to step 4:
90 goes into 449 4 times with a remainder of 89.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtract 360 from 449 to get 89.
Fetch the next digit (2) from the dividend, attach it to 89 and continue: 892 / 90

Let's proceed to step 5:
90 can be fit into 892 9 times, resulting in a remainder of 82.
The next digit of our result is 9. 
Result so far: 649.0
The remainder is 82 after subtracting 810 from 892.
Fetch the next digit (0) from the dividend, attach it to 82 and continue: 820 / 90

Moving on to step 6:
If we divide 820 by 90, we get 9 and a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 6499.0
Subtracting 810 from 820 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
If we divide 100 by 90, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 6499.1
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 90 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 6499.11
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 6499.11 with a remainder of 0.01.