We look at the division of 517459 by 82 
We're looking to find how many times 82 goes into 517459.

On to step 1:
82 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 82

On to step 2:
When dividing 51 by 82, we get 0 with a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 82

On to step 3:
82 can be fit into 517 6 times, resulting in a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 25 after subtracting 492 from 517.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 82

Advancing to step 4:
If we divide 254 by 82, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
Deduct 246 from 254 and we're left with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 82

On to step 5:
If we divide 85 by 82, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 631.0
The remainder is 3 after subtracting 82 from 85.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 82

On to step 6:
82 can be fit into 39 0 times, resulting in a remainder of 39.
The next digit of our result is 0. 
Result so far: 6310.0
Deduct 0 from 39 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 7:
82 goes into 390 4 times with a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 6310.4
If we take 328 away from 390, we end up 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.

Let's proceed to step 8:
620 divided by 82 is 7 with a remainder of 46.
Use 7 as the next digit of our solution. 
Result so far: 6310.47
If we subtract 574 from 620, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 9:
When dividing 460 by 82, we get 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 6310.475
Deduct 410 from 460 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
The number 82 fits into 500 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6310.4756
Subtracting 492 from 500 leaves us 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.

Advancing to step 11:
The number 82 fits into 80 0 times, leaving a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6310.4756
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
If we divide 800 by 82, we get 9 and a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 6310.475609
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.

Step 13:
620 divided by 82 is 7 with a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 6310.4756097
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.

Going ahead to step 14:
82 goes into 460 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 6310.47560975
Subtracting 410 from 460 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 6310.47560975 with a balance of 5e-08.