82516 ÷ 88 
We're looking to find how many times 88 goes into 82516.

Going ahead to step 1:
88 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 88

Moving on to step 2:
82 divided by 88 is 0 with a remainder of 82.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 82 to get 82.
Append the next digit (5) from the dividend to 82 and continue with: 825 / 88

Step 3:
When dividing 825 by 88, we get 9 with a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 792 away from 825, we end up with 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 88

Going ahead to step 4:
If we divide 331 by 88, we get 3 and a remainder of 67.
The next digit of our result is 3. 
Result so far: 93.0
The remainder is 67 after subtracting 264 from 331.
Take the next digit (6) from the dividend and append it to 67, then repeat: 676 / 88

Advancing to step 5:
88 can be fit into 676 7 times, resulting in a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 937.0
Subtracting 616 from 676 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 6:
When dividing 600 by 88, we get 6 with a remainder of 72.
Record the quotient 6 as the next digit in the result. 
Result so far: 937.6
If we take 528 away from 600, 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.

Step 7:
720 divided by 88 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 937.68
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.

On to step 8:
When dividing 160 by 88, we get 1 with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 937.681
The remainder is 72 after subtracting 88 from 160.
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 9:
88 goes into 720 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 937.6818
If we subtract 704 from 720, 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.

Going ahead to step 10:
The number 88 fits into 160 1 times, leaving a remainder of 72.
Use 1 as the next digit of our solution. 
Result so far: 937.68181
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.

Advancing to step 11:
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: 937.681818
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 12:
The number 88 fits into 160 1 times, leaving a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 937.6818181
The remainder is 72 after subtracting 88 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 13:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 937.68181818
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.

In conclusion, the division gives 937.68181818 with a balance of 1.6e-08.