We look at the division of 571589 by 90 
We want to divide 571589 by 90.

Step 1:
If we divide 5 by 90, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 90

Going ahead to step 2:
57 divided by 90 is 0 with a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Append the next digit (1) from the dividend to 57 and continue with: 571 / 90

Moving on to step 3:
When dividing 571 by 90, we get 6 with a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 540 from 571, we get 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 90

Going ahead to step 4:
90 goes into 315 3 times with a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
The remainder is 45 after subtracting 270 from 315.
Fetch the next digit (8) from the dividend, attach it to 45 and continue: 458 / 90

Moving on to step 5:
458 divided by 90 is 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 635.0
Subtract 450 from 458 to get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 90

Let's proceed to step 6:
When dividing 89 by 90, we get 0 with a remainder of 89.
Put 0 as the next digit of the answer. 
Result so far: 6350.0
Subtracting 0 from 89 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 7:
When dividing 890 by 90, we get 9 with a remainder of 80.
The number 9 becomes the next digit in our result. 
Result so far: 6350.9
The remainder is 80 after subtracting 810 from 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 8:
When dividing 800 by 90, we get 8 with a remainder of 80.
The next digit of our result is 8. 
Result so far: 6350.98
Subtracting 720 from 800 leaves us 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.

On to step 9:
90 goes into 800 8 times with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 6350.988
The remainder is 80 after subtracting 720 from 800.
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 result is 6350.988 with a remainder of 0.008.