517424 ÷ 88 
Our goal is to divide 517424 by 88.

On to step 1:
The number 88 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 88

On to step 2:
The number 88 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 88

Going ahead to step 3:
88 can be fit into 517 5 times, resulting in a remainder of 77.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 440 from 517 to get 77.
Take the next digit (4) from the dividend and append it to 77, then repeat: 774 / 88

Advancing to step 4:
88 can be fit into 774 8 times, resulting in a remainder of 70.
The next digit of our result is 8. 
Result so far: 58.0
Deduct 704 from 774 and we're left with 70.
Append the next digit (2) from the dividend to 70 and continue with: 702 / 88

Let's proceed to step 5:
702 divided by 88 is 7 with a remainder of 86.
Record the quotient 7 as the next digit in the result. 
Result so far: 587.0
If we take 616 away from 702, we end up with 86.
Append the next digit (4) from the dividend to 86 and continue with: 864 / 88

Moving on to step 6:
The number 88 fits into 864 9 times, leaving a remainder of 72.
Write down 9 as next digit of the result. 
Result so far: 5879.0
Subtracting 792 from 864 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 7:
If we divide 720 by 88, we get 8 and a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5879.8
Subtract 704 from 720 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
If we divide 160 by 88, we get 1 and a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 5879.81
Deduct 88 from 160 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 9:
88 goes into 720 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 5879.818
Deduct 704 from 720 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
160 divided by 88 is 1 with a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 5879.8181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
720 divided by 88 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 5879.81818
Deduct 704 from 720 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
88 can be fit into 160 1 times, resulting in a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 5879.818181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 13:
If we divide 720 by 88, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 5879.8181818
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
88 can be fit into 160 1 times, resulting in a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 5879.81818181
If we subtract 88 from 160, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final outcome is 5879.81818181, with a leftover of 7.2e-08.