We're dividing 514221 by 82 
Our goal is to divide 514221 by 82.

On 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
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 82

Going ahead to step 2:
82 goes into 51 0 times with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 82

Advancing to step 3:
514 divided by 82 is 6 with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 492 from 514 and we're left with 22.
Include the next digit (2) from the dividend after 22, then repeat: 222 / 82

Let's proceed to step 4:
222 divided by 82 is 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtract 164 from 222 to get 58.
Fetch the next digit (2) from the dividend, attach it to 58 and continue: 582 / 82

Step 5:
582 divided by 82 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 627.0
If we subtract 574 from 582, we get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 82

Advancing to step 6:
The number 82 fits into 81 0 times, leaving a remainder of 81.
Use 0 as the next digit of our solution. 
Result so far: 6270.0
If we subtract 0 from 81, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 7:
If we divide 810 by 82, we get 9 and a remainder of 72.
The next digit of our result is 9. 
Result so far: 6270.9
Subtracting 738 from 810 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 8:
720 divided by 82 is 8 with a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 6270.98
If we take 656 away from 720, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 9:
640 divided by 82 is 7 with a remainder of 66.
The number 7 becomes the next digit in our result. 
Result so far: 6270.987
Subtracting 574 from 640 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 10:
If we divide 660 by 82, we get 8 and a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 6270.9878
If we take 656 away from 660, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
40 divided by 82 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6270.9878
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
82 goes into 400 4 times with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 6270.987804
Subtracting 328 from 400 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 13:
82 goes into 720 8 times with a remainder of 64.
The next digit of our result is 8. 
Result so far: 6270.9878048
Subtract 656 from 720 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 14:
82 can be fit into 640 7 times, resulting in a remainder of 66.
Record the quotient 7 as the next digit in the result. 
Result so far: 6270.98780487
If we take 574 away from 640, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 6270.98780487 with a balance of 6.6e-08.