516588 ÷ 88 
We want to figure out the number of times 516588 can be divided by 88.

Going ahead to step 1:
88 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 88

Going ahead to step 2:
The number 88 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 88

Step 3:
When dividing 516 by 88, we get 5 with a remainder of 76.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 440 from 516, we get 76.
Append the next digit (5) from the dividend to 76 and continue with: 765 / 88

Step 4:
If we divide 765 by 88, we get 8 and a remainder of 61.
Use 8 as the next digit of our solution. 
Result so far: 58.0
The remainder is 61 after subtracting 704 from 765.
Bring next digit (8) of the dividend behind the 61 and repeat the process: 618 / 88

Moving on to step 5:
If we divide 618 by 88, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 587.0
If we take 616 away from 618, we end up with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 88

Going ahead to step 6:
88 can be fit into 28 0 times, resulting in a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 5870.0
Subtracting 0 from 28 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 7:
If we divide 280 by 88, we get 3 and a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 5870.3
If we subtract 264 from 280, we 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.

On to step 8:
The number 88 fits into 160 1 times, leaving a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 5870.31
If we take 88 away from 160, we end up 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 9:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 5870.318
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.

Moving on to step 10:
If we divide 160 by 88, we get 1 and a remainder of 72.
Write down 1 as next digit of the result. 
Result so far: 5870.3181
If we take 88 away from 160, we end up 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.

Moving on to step 11:
When dividing 720 by 88, we get 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 5870.31818
If we take 704 away from 720, we end up 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.

Let's proceed to step 12:
When dividing 160 by 88, we get 1 with a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 5870.318181
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.

On to step 13:
If we divide 720 by 88, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 5870.3181818
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.

Let's proceed to step 14:
160 divided by 88 is 1 with a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 5870.31818181
Subtract 88 from 160 to 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.

In conclusion, the division gives 5870.31818181 with a balance of 7.2e-08.