We're dividing 512759 by 90 
We're looking to find how many times 90 goes into 512759.

Let's proceed to step 1:
5 divided by 90 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 90

Let's proceed to step 2:
90 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (2) from the dividend after 51, then repeat: 512 / 90

Let's proceed to step 3:
If we divide 512 by 90, we get 5 and a remainder of 62.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 450 from 512 leaves us with 62.
Bring next digit (7) of the dividend behind the 62 and repeat the process: 627 / 90

Step 4:
If we divide 627 by 90, we get 6 and a remainder of 87.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we take 540 away from 627, we end up with 87.
Include the next digit (5) from the dividend after 87, then repeat: 875 / 90

Moving on to step 5:
90 can be fit into 875 9 times, resulting in a remainder of 65.
The next digit of our result is 9. 
Result so far: 569.0
The remainder is 65 after subtracting 810 from 875.
Include the next digit (9) from the dividend after 65, then repeat: 659 / 90

Advancing to step 6:
If we divide 659 by 90, we get 7 and a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 5697.0
If we subtract 630 from 659, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
90 goes into 290 3 times with a remainder of 20.
The next digit of our result is 3. 
Result so far: 5697.3
Deduct 270 from 290 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 90 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 5697.32
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 90 fits into 200 2 times, leaving a remainder of 20.
The next digit of our result is 2. 
Result so far: 5697.322
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 5697.322, with a leftover of 0.002.