We look at the division of 646723 by 82 
Let's see how many times 82 fits into 646723.

Step 1:
6 divided by 82 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 82

Moving on to step 2:
64 divided by 82 is 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 82

Moving on to step 3:
82 can be fit into 646 7 times, resulting in a remainder of 72.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 574 from 646 to get 72.
Fetch the next digit (7) from the dividend, attach it to 72 and continue: 727 / 82

On to step 4:
When dividing 727 by 82, we get 8 with a remainder of 71.
Write down 8 as next digit of the result. 
Result so far: 78.0
Subtracting 656 from 727 leaves us with 71.
Bring next digit (2) of the dividend behind the 71 and repeat the process: 712 / 82

Let's proceed to step 5:
When dividing 712 by 82, we get 8 with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 788.0
If we take 656 away from 712, we end up with 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 82

Going ahead to step 6:
82 goes into 563 6 times with a remainder of 71.
The next digit of our result is 6. 
Result so far: 7886.0
If we subtract 492 from 563, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
If we divide 710 by 82, we get 8 and a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 7886.8
Deduct 656 from 710 and we're left 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.

Going ahead to step 8:
When dividing 540 by 82, we get 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 7886.86
Subtract 492 from 540 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 9:
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: 7886.865
Deduct 410 from 480 and we're left with 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 10:
If we divide 700 by 82, we get 8 and a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 7886.8658
If we subtract 656 from 700, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 11:
The number 82 fits into 440 5 times, leaving a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 7886.86585
Subtract 410 from 440 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
300 divided by 82 is 3 with a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 7886.865853
Subtract 246 from 300 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 13:
If we divide 540 by 82, we get 6 and a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 7886.8658536
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 14:
82 can be fit into 480 5 times, resulting in a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 7886.86585365
Subtracting 410 from 480 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 7886.86585365 and a remainder of 7e-08.