514631 ÷ 82 
Our goal is to divide 514631 by 82.

On to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 82

Moving on to step 2:
If we divide 51 by 82, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Bring next digit (4) of the dividend behind the 51 and repeat the process: 514 / 82

Advancing to step 3:
If we divide 514 by 82, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 492 away from 514, we end up with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 82

Let's proceed to step 4:
82 goes into 226 2 times with a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 62.0
The remainder is 62 after subtracting 164 from 226.
Include the next digit (3) from the dividend after 62, then repeat: 623 / 82

Advancing to step 5:
The number 82 fits into 623 7 times, leaving a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 627.0
Deduct 574 from 623 and we're left with 49.
Bring next digit (1) of the dividend behind the 49 and repeat the process: 491 / 82

Step 6:
If we divide 491 by 82, we get 5 and a remainder of 81.
Use 5 as the next digit of our solution. 
Result so far: 6275.0
Subtracting 410 from 491 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 7:
When dividing 810 by 82, we get 9 with a remainder of 72.
Put 9 as the next digit of the answer. 
Result so far: 6275.9
If we take 738 away from 810, we end up 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.

Going ahead to step 8:
720 divided by 82 is 8 with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 6275.98
Subtracting 656 from 720 leaves us 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.

Step 9:
82 goes into 640 7 times with a remainder of 66.
Record the quotient 7 as the next digit in the result. 
Result so far: 6275.987
Subtract 574 from 640 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 10:
82 can be fit into 660 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 6275.9878
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.

Moving on to step 11:
82 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6275.9878
If we take 0 away from 40, we end up with 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:
The number 82 fits into 400 4 times, leaving a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 6275.987804
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.

Going ahead to step 13:
82 goes into 720 8 times with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 6275.9878048
The remainder is 64 after subtracting 656 from 720.
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 14:
640 divided by 82 is 7 with a remainder of 66.
Use 7 as the next digit of our solution. 
Result so far: 6275.98780487
Deduct 574 from 640 and we're left 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.

The quotient of the division is 6275.98780487, and the remainder is 6.6e-08.