We divide 508823 by 90
We want to divide 508823 by 90.

On to step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 90

Advancing to step 2:
90 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Fetch the next digit (8) from the dividend, attach it to 50 and continue: 508 / 90

Moving on to step 3:
508 divided by 90 is 5 with a remainder of 58.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 450 away from 508, we end up with 58.
Bring next digit (8) of the dividend behind the 58 and repeat the process: 588 / 90

Advancing to step 4:
588 divided by 90 is 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 56.0
Subtracting 540 from 588 leaves us with 48.
Grab the next digit (2) from the dividend, add it to 48, then carry on: 482 / 90

Let's proceed to step 5:
The number 90 fits into 482 5 times, leaving a remainder of 32.
The next digit of our result is 5. 
Result so far: 565.0
Subtracting 450 from 482 leaves us with 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 90

Step 6:
90 goes into 323 3 times with a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 5653.0
The remainder is 53 after subtracting 270 from 323.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
If we divide 530 by 90, we get 5 and a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 5653.5
Deduct 450 from 530 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 8:
If we divide 800 by 90, we get 8 and a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 5653.58
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 9:
The number 90 fits into 800 8 times, leaving a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 5653.588
If we take 720 away from 800, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 5653.588, with a leftover of 0.008.