Let's divide 519513 by 88
Our goal is to divide 519513 by 88.

Advancing to step 1:
88 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 88

Advancing to step 2:
If we divide 51 by 88, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 88

On to step 3:
88 goes into 519 5 times with a remainder of 79.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 440 from 519 to get 79.
Fetch the next digit (5) from the dividend, attach it to 79 and continue: 795 / 88

Step 4:
If we divide 795 by 88, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 792 from 795, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 88

Going ahead to step 5:
If we divide 31 by 88, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 590.0
If we subtract 0 from 31, we get 31.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 88

On to step 6:
If we divide 313 by 88, we get 3 and a remainder of 49.
The next digit of our result is 3. 
Result so far: 5903.0
Subtracting 264 from 313 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
The number 88 fits into 490 5 times, leaving a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5903.5
Subtracting 440 from 490 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
If we divide 500 by 88, we get 5 and a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 5903.55
Subtract 440 from 500 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.

The final result is 5903.55 with a remainder of 0.06.