We look at the division of 306871 by 82 
Our goal is to divide 306871 by 82.

Advancing to step 1:
The number 82 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 82

Going ahead to step 2:
The number 82 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 82

Moving on to step 3:
When dividing 306 by 82, we get 3 with a remainder of 60.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 246 from 306, we get 60.
Grab the next digit (8) from the dividend, add it to 60, then carry on: 608 / 82

Let's proceed to step 4:
82 can be fit into 608 7 times, resulting in a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 37.0
The remainder is 34 after subtracting 574 from 608.
Take the next digit (7) from the dividend and append it to 34, then repeat: 347 / 82

On to step 5:
When dividing 347 by 82, we get 4 with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 374.0
The remainder is 19 after subtracting 328 from 347.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 82

Going ahead to step 6:
If we divide 191 by 82, we get 2 and a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 3742.0
If we subtract 164 from 191, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
When dividing 270 by 82, we get 3 with a remainder of 24.
The next digit of our result is 3. 
Result so far: 3742.3
Subtracting 246 from 270 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
If we divide 240 by 82, we get 2 and a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 3742.32
If we take 164 away from 240, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 9:
When dividing 760 by 82, we get 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 3742.329
The remainder is 22 after subtracting 738 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
The number 82 fits into 220 2 times, leaving a remainder of 56.
The next digit of our result is 2. 
Result so far: 3742.3292
Deduct 164 from 220 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
82 goes into 560 6 times with a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 3742.32926
Deduct 492 from 560 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 12:
The number 82 fits into 680 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 3742.329268
Subtract 656 from 680 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 13:
If we divide 240 by 82, we get 2 and a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 3742.3292682
The remainder is 76 after subtracting 164 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 14:
82 goes into 760 9 times with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 3742.32926829
The remainder is 22 after subtracting 738 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 3742.32926829, and the remainder is 2.2e-08.