82816 ÷ 765 
We're looking to find how many times 765 goes into 82816.

Let's proceed to step 1:
If we divide 8 by 765, we get 0 and 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.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 765

On to step 2:
When dividing 82 by 765, we get 0 with a remainder of 82.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Bring next digit (8) of the dividend behind the 82 and repeat the process: 828 / 765

Advancing to step 3:
765 can be fit into 828 1 times, resulting in a remainder of 63.
The next digit of our result is 1. 
Result so far: 1.0
If we take 765 away from 828, we end up with 63.
Take the next digit (1) from the dividend and append it to 63, then repeat: 631 / 765

Advancing to step 4:
631 divided by 765 is 0 with a remainder of 631.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 631, we get 631.
Grab the next digit (6) from the dividend, add it to 631, then carry on: 6316 / 765

Let's proceed to step 5:
6316 divided by 765 is 8 with a remainder of 196.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we subtract 6120 from 6316, we get 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

On to step 6:
When dividing 1960 by 765, we get 2 with a remainder of 430.
The number 2 becomes the next digit in our result. 
Result so far: 108.2
The remainder is 430 after subtracting 1530 from 1960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

On to step 7:
765 goes into 4300 5 times with a remainder of 475.
The next digit of our result is 5. 
Result so far: 108.25
If we take 3825 away from 4300, we end up with 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Advancing to step 8:
765 can be fit into 4750 6 times, resulting in a remainder of 160.
Use 6 as the next digit of our solution. 
Result so far: 108.256
The remainder is 160 after subtracting 4590 from 4750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Step 9:
765 goes into 1600 2 times with a remainder of 70.
Use 2 as the next digit of our solution. 
Result so far: 108.2562
If we subtract 1530 from 1600, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
The number 765 fits into 700 0 times, leaving a remainder of 700.
Write down 0 as next digit of the result. 
Result so far: 108.2562
If we take 0 away from 700, we end up with 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Going ahead to step 11:
7000 divided by 765 is 9 with a remainder of 115.
The number 9 becomes the next digit in our result. 
Result so far: 108.256209
Subtract 6885 from 7000 to get 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Advancing to step 12:
765 can be fit into 1150 1 times, resulting in a remainder of 385.
Write down 1 as next digit of the result. 
Result so far: 108.2562091
Deduct 765 from 1150 and we're left with 385.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3850, and continue the process.

Going ahead to step 13:
When dividing 3850 by 765, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 108.25620915
Deduct 3825 from 3850 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 108.25620915 with a remainder of 2.5e-08.