655971 divided by 82 
Our goal is to divide 655971 by 82.

Step 1:
The number 82 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 82

Moving on to step 2:
82 goes into 65 0 times with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Append the next digit (5) from the dividend to 65 and continue with: 655 / 82

Moving on to step 3:
If we divide 655 by 82, we get 7 and a remainder of 81.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 574 from 655 and we're left with 81.
Bring next digit (9) of the dividend behind the 81 and repeat the process: 819 / 82

Let's proceed to step 4:
If we divide 819 by 82, we get 9 and a remainder of 81.
Use 9 as the next digit of our solution. 
Result so far: 79.0
If we take 738 away from 819, we end up with 81.
Append the next digit (7) from the dividend to 81 and continue with: 817 / 82

On to step 5:
82 goes into 817 9 times with a remainder of 79.
Write down 9 as next digit of the result. 
Result so far: 799.0
The remainder is 79 after subtracting 738 from 817.
Append the next digit (1) from the dividend to 79 and continue with: 791 / 82

Moving on to step 6:
If we divide 791 by 82, we get 9 and a remainder of 53.
The number 9 becomes the next digit in our result. 
Result so far: 7999.0
Subtracting 738 from 791 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
82 goes into 530 6 times with a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 7999.6
Subtract 492 from 530 to get 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 8:
82 goes into 380 4 times with a remainder of 52.
The next digit of our result is 4. 
Result so far: 7999.64
The remainder is 52 after subtracting 328 from 380.
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 9:
520 divided by 82 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 7999.646
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.

Let's proceed to step 10:
The number 82 fits into 280 3 times, leaving a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 7999.6463
If we take 246 away from 280, we end up 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.

Going ahead to step 11:
82 goes into 340 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 7999.64634
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 12:
82 can be fit into 120 1 times, resulting in a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 7999.646341
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 13:
When dividing 380 by 82, we get 4 with a remainder of 52.
The next digit of our result is 4. 
Result so far: 7999.6463414
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.

Advancing to step 14:
520 divided by 82 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 7999.64634146
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.

After the division, we end up with 7999.64634146 and a remainder of 2.8e-08.