31569 ÷ 90 
We want to divide 31569 by 90.

Going ahead to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 90

Let's proceed to step 2:
90 can be fit into 31 0 times, resulting in a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 90

Moving on to step 3:
90 goes into 315 3 times with a remainder of 45.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 270 away from 315, we end up with 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 90

Step 4:
The number 90 fits into 456 5 times, leaving a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 35.0
If we subtract 450 from 456, we get 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 90

Step 5:
69 divided by 90 is 0 with a remainder of 69.
Use 0 as the next digit of our solution. 
Result so far: 350.0
If we subtract 0 from 69, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 6:
The number 90 fits into 690 7 times, leaving a remainder of 60.
The next digit of our result is 7. 
Result so far: 350.7
If we subtract 630 from 690, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 7:
When dividing 600 by 90, we get 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 350.76
The remainder is 60 after subtracting 540 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
If we divide 600 by 90, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 350.766
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 350.766, with a leftover of 0.006.