We look at the division of 677272 by 82 
We want to divide 677272 by 82.

Let's proceed to step 1:
6 divided by 82 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 82

Moving on to step 2:
67 divided by 82 is 0 with a remainder of 67.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 67 leaves us with 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 82

Step 3:
If we divide 677 by 82, we get 8 and a remainder of 21.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 656 from 677 and we're left with 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 82

On to step 4:
The number 82 fits into 212 2 times, leaving a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 82.0
The remainder is 48 after subtracting 164 from 212.
Include the next digit (7) from the dividend after 48, then repeat: 487 / 82

Going ahead to step 5:
If we divide 487 by 82, we get 5 and a remainder of 77.
Write down 5 as next digit of the result. 
Result so far: 825.0
Subtracting 410 from 487 leaves us with 77.
Take the next digit (2) from the dividend and append it to 77, then repeat: 772 / 82

Going ahead to step 6:
772 divided by 82 is 9 with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 8259.0
Deduct 738 from 772 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
If we divide 340 by 82, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 8259.4
Deduct 328 from 340 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
82 goes into 120 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 8259.41
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
The number 82 fits into 380 4 times, leaving a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 8259.414
Deduct 328 from 380 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 10:
520 divided by 82 is 6 with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 8259.4146
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 8259.41463
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 12:
When dividing 340 by 82, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 8259.414634
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
82 goes into 120 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 8259.4146341
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
380 divided by 82 is 4 with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 8259.41463414
Subtract 328 from 380 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 8259.41463414 with a remainder of 5.2e-08.