We look at the division of 565725 by 82 
We're looking to find how many times 82 goes into 565725.

Advancing to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 82

Going ahead to step 2:
The number 82 fits into 56 0 times, leaving a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 56 after subtracting 0 from 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 82

Step 3:
565 divided by 82 is 6 with a remainder of 73.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 73 after subtracting 492 from 565.
Include the next digit (7) from the dividend after 73, then repeat: 737 / 82

Going ahead to step 4:
If we divide 737 by 82, we get 8 and a remainder of 81.
Use 8 as the next digit of our solution. 
Result so far: 68.0
If we take 656 away from 737, we end up with 81.
Bring next digit (2) of the dividend behind the 81 and repeat the process: 812 / 82

On to step 5:
The number 82 fits into 812 9 times, leaving a remainder of 74.
The number 9 becomes the next digit in our result. 
Result so far: 689.0
Subtract 738 from 812 to get 74.
Fetch the next digit (5) from the dividend, attach it to 74 and continue: 745 / 82

Let's proceed to step 6:
82 can be fit into 745 9 times, resulting in a remainder of 7.
The next digit of our result is 9. 
Result so far: 6899.0
The remainder is 7 after subtracting 738 from 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
When dividing 70 by 82, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 6899.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
82 can be fit into 700 8 times, resulting in a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 6899.08
Subtract 656 from 700 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
When dividing 440 by 82, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6899.085
If we take 410 away from 440, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
300 divided by 82 is 3 with a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 6899.0853
Subtract 246 from 300 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 11:
82 goes into 540 6 times with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 6899.08536
The remainder is 48 after subtracting 492 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 12:
When dividing 480 by 82, we get 5 with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 6899.085365
If we take 410 away from 480, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 13:
The number 82 fits into 700 8 times, leaving a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 6899.0853658
If we take 656 away from 700, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
If we divide 440 by 82, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 6899.08536585
If we subtract 410 from 440, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 6899.08536585, and the remainder is 3e-08.