We look at the division of 564661 by 82 
We're looking to find how many times 82 goes into 564661.

Let's proceed to step 1:
82 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
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 subtract 0 from 56, we get 56.
Include the next digit (4) from the dividend after 56, then repeat: 564 / 82

On to step 3:
If we divide 564 by 82, we get 6 and a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 492 away from 564, we end up with 72.
Include the next digit (6) from the dividend after 72, then repeat: 726 / 82

Going ahead to step 4:
82 goes into 726 8 times with a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtract 656 from 726 to get 70.
Fetch the next digit (6) from the dividend, attach it to 70 and continue: 706 / 82

Step 5:
When dividing 706 by 82, we get 8 with a remainder of 50.
Put 8 as the next digit of the answer. 
Result so far: 688.0
If we subtract 656 from 706, we get 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 82

Step 6:
501 divided by 82 is 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6886.0
Deduct 492 from 501 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
The number 82 fits into 90 1 times, leaving a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 6886.1
If we take 82 away from 90, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
82 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 6886.1
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 9:
If we divide 800 by 82, we get 9 and a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 6886.109
Subtract 738 from 800 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 10:
82 goes into 620 7 times with a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 6886.1097
Subtracting 574 from 620 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 11:
82 can be fit into 460 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 6886.10975
Subtract 410 from 460 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 12:
82 can be fit into 500 6 times, resulting in a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 6886.109756
The remainder is 8 after subtracting 492 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 82, we get 0 and a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6886.109756
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 14:
If we divide 800 by 82, we get 9 and a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 6886.10975609
Deduct 738 from 800 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 6886.10975609, and the remainder is 6.2e-08.