We're dividing 827965 by 82 
Our goal is to divide 827965 by 82.

Step 1:
82 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 82

Moving on to step 2:
82 divided by 82 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 82 from 82 to get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 82

Step 3:
82 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 82

Moving on to step 4:
The number 82 fits into 79 0 times, leaving a remainder of 79.
Use 0 as the next digit of our solution. 
Result so far: 100.0
Deduct 0 from 79 and we're left with 79.
Include the next digit (6) from the dividend after 79, then repeat: 796 / 82

Advancing to step 5:
796 divided by 82 is 9 with a remainder of 58.
The next digit of our result is 9. 
Result so far: 1009.0
The remainder is 58 after subtracting 738 from 796.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 82

Advancing to step 6:
The number 82 fits into 585 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 10097.0
The remainder is 11 after subtracting 574 from 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
When dividing 110 by 82, we get 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 10097.1
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
The number 82 fits into 280 3 times, leaving a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 10097.13
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
82 can be fit into 340 4 times, resulting in a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 10097.134
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
When dividing 120 by 82, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 10097.1341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
380 divided by 82 is 4 with a remainder of 52.
The next digit of our result is 4. 
Result so far: 10097.13414
The remainder is 52 after subtracting 328 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 12:
520 divided by 82 is 6 with a remainder of 28.
Write down 6 as next digit of the result. 
Result so far: 10097.134146
If we subtract 492 from 520, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
280 divided by 82 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 10097.1341463
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 14:
The number 82 fits into 340 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 10097.13414634
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 10097.13414634 and a remainder of 1.2e-08.