We look at the division of 513753 by 90 
Let's see how many times 90 fits into 513753.

Going ahead to step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 90

Moving on to step 2:
90 goes into 51 0 times with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Bring next digit (3) of the dividend behind the 51 and repeat the process: 513 / 90

On to step 3:
90 goes into 513 5 times with a remainder of 63.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 450 from 513 to get 63.
Take the next digit (7) from the dividend and append it to 63, then repeat: 637 / 90

Advancing to step 4:
The number 90 fits into 637 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 57.0
Subtracting 630 from 637 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 90

On to step 5:
If we divide 75 by 90, we get 0 and a remainder of 75.
The next digit of our result is 0. 
Result so far: 570.0
If we subtract 0 from 75, we get 75.
Grab the next digit (3) from the dividend, add it to 75, then carry on: 753 / 90

Step 6:
If we divide 753 by 90, we get 8 and a remainder of 33.
Record the quotient 8 as the next digit in the result. 
Result so far: 5708.0
The remainder is 33 after subtracting 720 from 753.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
When dividing 330 by 90, we get 3 with a remainder of 60.
The next digit of our result is 3. 
Result so far: 5708.3
Deduct 270 from 330 and we're left with 60.
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.
Put 6 as the next digit of the answer. 
Result so far: 5708.36
Subtract 540 from 600 to 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.

Step 9:
When dividing 600 by 90, we get 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 5708.366
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.

The final outcome is 5708.366, with a leftover of 0.006.