825316 ÷ 82 
We want to figure out the number of times 825316 can be divided by 82.

Going ahead to step 1:
If we divide 8 by 82, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 82

On to step 2:
82 divided by 82 is 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 82 from 82 leaves us with 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 82

On to step 3:
When dividing 5 by 82, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 5 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 82

On to step 4:
The number 82 fits into 53 0 times, leaving a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
Deduct 0 from 53 and we're left with 53.
Grab the next digit (1) from the dividend, add it to 53, then carry on: 531 / 82

Advancing to step 5:
82 goes into 531 6 times with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 1006.0
Subtracting 492 from 531 leaves us with 39.
Append the next digit (6) from the dividend to 39 and continue with: 396 / 82

Going ahead to step 6:
82 goes into 396 4 times with a remainder of 68.
The next digit of our result is 4. 
Result so far: 10064.0
If we subtract 328 from 396, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 7:
680 divided by 82 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 10064.8
If we subtract 656 from 680, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
82 can be fit into 240 2 times, resulting in a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 10064.82
The remainder is 76 after subtracting 164 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 9:
82 goes into 760 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 10064.829
Subtracting 738 from 760 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
If we divide 220 by 82, we get 2 and a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 10064.8292
If we subtract 164 from 220, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
82 goes into 560 6 times with a remainder of 68.
The next digit of our result is 6. 
Result so far: 10064.82926
Subtracting 492 from 560 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 12:
If we divide 680 by 82, we get 8 and a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 10064.829268
Subtract 656 from 680 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
82 goes into 240 2 times with a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 10064.8292682
Subtract 164 from 240 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 14:
82 can be fit into 760 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 10064.82926829
If we take 738 away from 760, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 10064.82926829, and the remainder is 2.2e-08.