We look at the division of 516637 by 88 
We want to figure out the number of times 516637 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.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 88

Advancing to step 2:
If we divide 51 by 88, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Include the next digit (6) from the dividend after 51, then repeat: 516 / 88

On to step 3:
88 can be fit into 516 5 times, resulting in a remainder of 76.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 76 after subtracting 440 from 516.
Grab the next digit (6) from the dividend, add it to 76, then carry on: 766 / 88

Going ahead to step 4:
88 goes into 766 8 times with a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 58.0
If we take 704 away from 766, we end up with 62.
Bring next digit (3) of the dividend behind the 62 and repeat the process: 623 / 88

Going ahead to step 5:
623 divided by 88 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 587.0
Subtract 616 from 623 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 88

Let's proceed to step 6:
If we divide 77 by 88, we get 0 and a remainder of 77.
The next digit of our result is 0. 
Result so far: 5870.0
Deduct 0 from 77 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
The number 88 fits into 770 8 times, leaving a remainder of 66.
Write down 8 as next digit of the result. 
Result so far: 5870.8
The remainder is 66 after subtracting 704 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 8:
660 divided by 88 is 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 5870.87
The remainder is 44 after subtracting 616 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
If we divide 440 by 88, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5870.875
The remainder is 0 after subtracting 440 from 440.
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 10:
88 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5870.875
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.

Advancing to step 11:
88 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5870.875
If we subtract 0 from 0, we get 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 5870.875 and a remainder of 0.0.