We look at the division of 512592 by 96 
We're looking to find how many times 96 goes into 512592.

Advancing to step 1:
The number 96 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
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 / 96

Going ahead to step 2:
51 divided by 96 is 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (2) from the dividend, attach it to 51 and continue: 512 / 96

Moving on to step 3:
512 divided by 96 is 5 with a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 480 from 512 to get 32.
Take the next digit (5) from the dividend and append it to 32, then repeat: 325 / 96

On to step 4:
If we divide 325 by 96, we get 3 and a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 37 after subtracting 288 from 325.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 96

Advancing to step 5:
96 can be fit into 379 3 times, resulting in a remainder of 91.
Use 3 as the next digit of our solution. 
Result so far: 533.0
Deduct 288 from 379 and we're left with 91.
Include the next digit (2) from the dividend after 91, then repeat: 912 / 96

Let's proceed to step 6:
If we divide 912 by 96, we get 9 and a remainder of 48.
The next digit of our result is 9. 
Result so far: 5339.0
Subtract 864 from 912 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 7:
If we divide 480 by 96, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5339.5
The remainder is 0 after subtracting 480 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
96 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5339.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
96 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5339.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 5339.5 and a remainder of 0.0.