654664 divided by 82 
Our goal is to divide 654664 by 82.

Going ahead 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
If we subtract 0 from 6, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 82

Moving on to step 2:
65 divided by 82 is 0 with a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Grab the next digit (4) from the dividend, add it to 65, then carry on: 654 / 82

Moving on to step 3:
If we divide 654 by 82, we get 7 and a remainder of 80.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 574 away from 654, we end up with 80.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 82

On to step 4:
The number 82 fits into 806 9 times, leaving a remainder of 68.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Subtracting 738 from 806 leaves us with 68.
Bring next digit (6) of the dividend behind the 68 and repeat the process: 686 / 82

On to step 5:
The number 82 fits into 686 8 times, leaving a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 798.0
The remainder is 30 after subtracting 656 from 686.
Grab the next digit (4) from the dividend, add it to 30, then carry on: 304 / 82

On to step 6:
82 goes into 304 3 times with a remainder of 58.
The next digit of our result is 3. 
Result so far: 7983.0
The remainder is 58 after subtracting 246 from 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
When dividing 580 by 82, we get 7 with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7983.7
Subtracting 574 from 580 leaves us 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.

Going ahead to step 8:
60 divided by 82 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 7983.7
Subtracting 0 from 60 leaves us 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 9:
If we divide 600 by 82, we get 7 and a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 7983.707
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.

Step 10:
The number 82 fits into 260 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 7983.7073
Subtract 246 from 260 to get 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 11:
When dividing 140 by 82, we get 1 with a remainder of 58.
Put 1 as the next digit of the answer. 
Result so far: 7983.70731
Deduct 82 from 140 and we're left with 58.
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 12:
580 divided by 82 is 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7983.707317
The remainder is 6 after subtracting 574 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
If we divide 60 by 82, we get 0 and a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 7983.707317
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.

On to step 14:
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: 7983.70731707
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.

The final result is 7983.70731707 with a remainder of 2.6e-08.