We look at the division of 509861 by 82 
We want to divide 509861 by 82.

Step 1:
The number 82 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 82

Let's proceed to step 2:
If we divide 50 by 82, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 82

Advancing to step 3:
82 can be fit into 509 6 times, resulting in a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 492 from 509, we get 17.
Take the next digit (8) from the dividend and append it to 17, then repeat: 178 / 82

Going ahead to step 4:
82 can be fit into 178 2 times, resulting in a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we subtract 164 from 178, we get 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 82

Step 5:
146 divided by 82 is 1 with a remainder of 64.
Use 1 as the next digit of our solution. 
Result so far: 621.0
Subtract 82 from 146 to get 64.
Include the next digit (1) from the dividend after 64, then repeat: 641 / 82

Advancing to step 6:
The number 82 fits into 641 7 times, leaving a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 6217.0
The remainder is 67 after subtracting 574 from 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
670 divided by 82 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 6217.8
If we take 656 away from 670, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
If we divide 140 by 82, we get 1 and a remainder of 58.
Write down 1 as next digit of the result. 
Result so far: 6217.81
The remainder is 58 after subtracting 82 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
When dividing 580 by 82, we get 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 6217.817
If we subtract 574 from 580, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
82 goes into 60 0 times with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 6217.817
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
When dividing 600 by 82, we get 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 6217.81707
If we take 574 away from 600, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
82 can be fit into 260 3 times, resulting in a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 6217.817073
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
82 goes into 140 1 times with a remainder of 58.
Record the quotient 1 as the next digit in the result. 
Result so far: 6217.8170731
The remainder is 58 after subtracting 82 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 14:
If we divide 580 by 82, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 6217.81707317
Deduct 574 from 580 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 6217.81707317 with a remaining 6e-09.