We look at the division of 633721 by 82 
We want to divide 633721 by 82.

Step 1:
The number 82 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 82

Let's proceed to step 2:
82 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Take the next digit (3) from the dividend and append it to 63, then repeat: 633 / 82

Going ahead to step 3:
82 goes into 633 7 times with a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 574 from 633, we get 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 82

Step 4:
The number 82 fits into 597 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 77.0
If we take 574 away from 597, we end up with 23.
Append the next digit (2) from the dividend to 23 and continue with: 232 / 82

On to step 5:
82 can be fit into 232 2 times, resulting in a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 772.0
Deduct 164 from 232 and we're left with 68.
Grab the next digit (1) from the dividend, add it to 68, then carry on: 681 / 82

Step 6:
82 goes into 681 8 times with a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 7728.0
If we subtract 656 from 681, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
82 can be fit into 250 3 times, resulting in a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 7728.3
Deduct 246 from 250 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
If we divide 40 by 82, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 7728.3
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
If we divide 400 by 82, we get 4 and a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 7728.304
Deduct 328 from 400 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
82 can be fit into 720 8 times, resulting in a remainder of 64.
The next digit of our result is 8. 
Result so far: 7728.3048
Subtracting 656 from 720 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 11:
640 divided by 82 is 7 with a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 7728.30487
If we take 574 away from 640, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 12:
If we divide 660 by 82, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 7728.304878
Subtract 656 from 660 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
40 divided by 82 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7728.304878
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 14:
82 goes into 400 4 times with a remainder of 72.
The next digit of our result is 4. 
Result so far: 7728.30487804
Subtracting 328 from 400 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

After the division, we end up with 7728.30487804 and a remainder of 7.2e-08.