826743 divided by 82 
Our goal is to divide 826743 by 82.

On to step 1:
The number 82 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 82

Going ahead to step 2:
82 divided by 82 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 82 from 82 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 82

Advancing to step 3:
The number 82 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 82

Let's proceed to step 4:
82 goes into 67 0 times with a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 100.0
The remainder is 67 after subtracting 0 from 67.
Grab the next digit (4) from the dividend, add it to 67, then carry on: 674 / 82

Moving on to step 5:
82 goes into 674 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 1008.0
Deduct 656 from 674 and we're left with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 82

Going ahead to step 6:
The number 82 fits into 183 2 times, leaving a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 10082.0
Deduct 164 from 183 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
If we divide 190 by 82, we get 2 and a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 10082.2
If we subtract 164 from 190, we 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.

Moving on to step 8:
If we divide 260 by 82, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 10082.23
If we subtract 246 from 260, we 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.

Step 9:
82 can be fit into 140 1 times, resulting in a remainder of 58.
Record the quotient 1 as the next digit in the result. 
Result so far: 10082.231
If we subtract 82 from 140, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 10:
82 goes into 580 7 times with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 10082.2317
If we subtract 574 from 580, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
82 goes into 60 0 times with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 10082.2317
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
When dividing 600 by 82, we get 7 with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 10082.231707
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 13:
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: 10082.2317073
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.

On to step 14:
82 goes into 140 1 times with a remainder of 58.
Use 1 as the next digit of our solution. 
Result so far: 10082.23170731
If we take 82 away from 140, we end up 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.

In conclusion, the division gives 10082.23170731 with a balance of 5.8e-08.