677039 ÷ 82 
We're looking to find how many times 82 goes into 677039.

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
Deduct 0 from 6 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 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
Deduct 0 from 67 and we're left with 67.
Include the next digit (7) from the dividend after 67, then repeat: 677 / 82

Going ahead to step 3:
The number 82 fits into 677 8 times, leaving a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 656 from 677 and we're left with 21.
Append the next digit (0) from the dividend to 21 and continue with: 210 / 82

Let's proceed to step 4:
When dividing 210 by 82, we get 2 with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtract 164 from 210 to get 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 82

Going ahead to step 5:
If we divide 463 by 82, we get 5 and a remainder of 53.
The number 5 becomes the next digit in our result. 
Result so far: 825.0
Deduct 410 from 463 and we're left with 53.
Append the next digit (9) from the dividend to 53 and continue with: 539 / 82

Moving on to step 6:
If we divide 539 by 82, we get 6 and a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 8256.0
Deduct 492 from 539 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 82 fits into 470 5 times, leaving a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 8256.5
Deduct 410 from 470 and we're left 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.

Let's proceed to step 8:
When dividing 600 by 82, we get 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 8256.57
Subtract 574 from 600 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
82 can be fit into 260 3 times, resulting in a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 8256.573
Deduct 246 from 260 and we're left 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 10:
If we divide 140 by 82, we get 1 and a remainder of 58.
Use 1 as the next digit of our solution. 
Result so far: 8256.5731
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.

Advancing to step 11:
If we divide 580 by 82, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 8256.57317
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.

Moving on to step 12:
82 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8256.57317
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
600 divided by 82 is 7 with a remainder of 26.
The next digit of our result is 7. 
Result so far: 8256.5731707
Subtracting 574 from 600 leaves us 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.

Moving on to step 14:
260 divided by 82 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 8256.57317073
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 8256.57317073 with a balance of 1.4e-08.