727943 ÷ 82 
Our goal is to divide 727943 by 82.

Let's proceed to step 1:
When dividing 7 by 82, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 82

Step 2:
If we divide 72 by 82, we get 0 and a remainder of 72.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 72 after subtracting 0 from 72.
Append the next digit (7) from the dividend to 72 and continue with: 727 / 82

Moving on to step 3:
When dividing 727 by 82, we get 8 with a remainder of 71.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 656 from 727, we get 71.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 82

On to step 4:
719 divided by 82 is 8 with a remainder of 63.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Subtracting 656 from 719 leaves us with 63.
Append the next digit (4) from the dividend to 63 and continue with: 634 / 82

Going ahead to step 5:
The number 82 fits into 634 7 times, leaving a remainder of 60.
Put 7 as the next digit of the answer. 
Result so far: 887.0
If we take 574 away from 634, we end up with 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 82

Step 6:
603 divided by 82 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 8877.0
Subtracting 574 from 603 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
290 divided by 82 is 3 with a remainder of 44.
Record the quotient 3 as the next digit in the result. 
Result so far: 8877.3
Deduct 246 from 290 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
82 goes into 440 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 8877.35
Deduct 410 from 440 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
If we divide 300 by 82, we get 3 and a remainder of 54.
The next digit of our result is 3. 
Result so far: 8877.353
Subtracting 246 from 300 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 10:
540 divided by 82 is 6 with a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 8877.3536
Subtracting 492 from 540 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
82 can be fit into 480 5 times, resulting in a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 8877.35365
If we subtract 410 from 480, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 12:
82 can be fit into 700 8 times, resulting in a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 8877.353658
Subtracting 656 from 700 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 13:
82 can be fit into 440 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 8877.3536585
Deduct 410 from 440 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
82 goes into 300 3 times with a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 8877.35365853
The remainder is 54 after subtracting 246 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

After the division, we end up with 8877.35365853 and a remainder of 5.4e-08.