We look at the division of 565473 by 82 
We want to divide 565473 by 82.

On to step 1:
82 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 82

Advancing to step 2:
56 divided by 82 is 0 with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 82

On to step 3:
82 can be fit into 565 6 times, resulting in a remainder of 73.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 492 from 565 to get 73.
Take the next digit (4) from the dividend and append it to 73, then repeat: 734 / 82

Going ahead to step 4:
The number 82 fits into 734 8 times, leaving a remainder of 78.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Deduct 656 from 734 and we're left with 78.
Fetch the next digit (7) from the dividend, attach it to 78 and continue: 787 / 82

Let's proceed to step 5:
82 can be fit into 787 9 times, resulting in a remainder of 49.
The next digit of our result is 9. 
Result so far: 689.0
If we take 738 away from 787, we end up with 49.
Bring next digit (3) of the dividend behind the 49 and repeat the process: 493 / 82

Advancing to step 6:
When dividing 493 by 82, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6896.0
If we subtract 492 from 493, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 82 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6896.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
82 can be fit into 100 1 times, resulting in a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 6896.01
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
When dividing 180 by 82, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 6896.012
Deduct 164 from 180 and we're left 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.

Step 10:
The number 82 fits into 160 1 times, leaving a remainder of 78.
Use 1 as the next digit of our solution. 
Result so far: 6896.0121
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 11:
82 can be fit into 780 9 times, resulting in a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 6896.01219
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 12:
82 goes into 420 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6896.012195
If we subtract 410 from 420, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
The number 82 fits into 100 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 6896.0121951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
82 can be fit into 180 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 6896.01219512
Deduct 164 from 180 and we're left 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.

After the division, we end up with 6896.01219512 and a remainder of 1.6e-08.