We're dividing 565311 by 82 
We want to figure out the number of times 565311 can be divided by 82.

Going ahead to step 1:
5 divided by 82 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 82

Moving on 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
Subtracting 0 from 56 leaves us with 56.
Bring next digit (5) of the dividend behind the 56 and repeat the process: 565 / 82

Going ahead to step 3:
565 divided by 82 is 6 with a remainder of 73.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 492 from 565 and we're left with 73.
Append the next digit (3) from the dividend to 73 and continue with: 733 / 82

On to step 4:
The number 82 fits into 733 8 times, leaving a remainder of 77.
Record the quotient 8 as the next digit in the result. 
Result so far: 68.0
Subtract 656 from 733 to get 77.
Include the next digit (1) from the dividend after 77, then repeat: 771 / 82

Advancing to step 5:
When dividing 771 by 82, we get 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 689.0
Deduct 738 from 771 and we're left with 33.
Append the next digit (1) from the dividend to 33 and continue with: 331 / 82

Let's proceed to step 6:
The number 82 fits into 331 4 times, leaving a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 6894.0
If we take 328 away from 331, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
82 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 6894.0
The remainder is 30 after subtracting 0 from 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 8:
The number 82 fits into 300 3 times, leaving a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 6894.03
Subtracting 246 from 300 leaves us with 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 9:
When dividing 540 by 82, we get 6 with a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 6894.036
Subtracting 492 from 540 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
480 divided by 82 is 5 with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 6894.0365
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 11:
If we divide 700 by 82, we get 8 and a remainder of 44.
The next digit of our result is 8. 
Result so far: 6894.03658
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 12:
The number 82 fits into 440 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 6894.036585
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.

Advancing to step 13:
If we divide 300 by 82, we get 3 and a remainder of 54.
Write down 3 as next digit of the result. 
Result so far: 6894.0365853
Subtracting 246 from 300 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 14:
82 can be fit into 540 6 times, resulting in a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 6894.03658536
If we subtract 492 from 540, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 6894.03658536 with a remainder of 4.8e-08.