669828 ÷ 82 
Our goal is to divide 669828 by 82.

Let's proceed to step 1:
If we divide 6 by 82, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 82

Going ahead to step 2:
82 can be fit into 66 0 times, resulting in a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Take the next digit (9) from the dividend and append it to 66, then repeat: 669 / 82

Step 3:
82 goes into 669 8 times with a remainder of 13.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 13 after subtracting 656 from 669.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 82

Let's proceed to step 4:
82 can be fit into 138 1 times, resulting in a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we subtract 82 from 138, we get 56.
Grab the next digit (2) from the dividend, add it to 56, then carry on: 562 / 82

Step 5:
The number 82 fits into 562 6 times, leaving a remainder of 70.
Use 6 as the next digit of our solution. 
Result so far: 816.0
If we subtract 492 from 562, we get 70.
Append the next digit (8) from the dividend to 70 and continue with: 708 / 82

Moving on to step 6:
If we divide 708 by 82, we get 8 and a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 8168.0
Subtracting 656 from 708 leaves us 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.

Moving on to step 7:
If we divide 520 by 82, we get 6 and a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 8168.6
Subtract 492 from 520 to get 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 8:
280 divided by 82 is 3 with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 8168.63
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
The number 82 fits into 340 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 8168.634
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.

Advancing to step 10:
When dividing 120 by 82, we get 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 8168.6341
Deduct 82 from 120 and we're left 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.

Step 11:
The number 82 fits into 380 4 times, leaving a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 8168.63414
If we subtract 328 from 380, we 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.

Going ahead to step 12:
82 goes into 520 6 times with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 8168.634146
Subtracting 492 from 520 leaves us 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.

Let's proceed to step 13:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 8168.6341463
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
If we divide 340 by 82, we get 4 and a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 8168.63414634
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.

The quotient of the division is 8168.63414634, and the remainder is 1.2e-08.