We look at the division of 16271 by 82 
We want to figure out the number of times 16271 can be divided by 82.

Step 1:
1 divided by 82 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 82

Advancing to step 2:
16 divided by 82 is 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 16 to get 16.
Include the next digit (2) from the dividend after 16, then repeat: 162 / 82

Advancing to step 3:
When dividing 162 by 82, we get 1 with a remainder of 80.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 80 after subtracting 82 from 162.
Fetch the next digit (7) from the dividend, attach it to 80 and continue: 807 / 82

Advancing to step 4:
82 goes into 807 9 times with a remainder of 69.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 738 from 807 to get 69.
Append the next digit (1) from the dividend to 69 and continue with: 691 / 82

Going ahead to step 5:
691 divided by 82 is 8 with a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 198.0
Subtracting 656 from 691 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 6:
When dividing 350 by 82, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 198.4
Subtracting 328 from 350 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
The number 82 fits into 220 2 times, leaving a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 198.42
If we subtract 164 from 220, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 8:
The number 82 fits into 560 6 times, leaving a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 198.426
The remainder is 68 after subtracting 492 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 9:
82 goes into 680 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 198.4268
If we take 656 away from 680, we end up 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.

On to step 10:
When dividing 240 by 82, we get 2 with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 198.42682
Subtract 164 from 240 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 11:
The number 82 fits into 760 9 times, leaving a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 198.426829
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.

Let's proceed to step 12:
82 can be fit into 220 2 times, resulting in a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 198.4268292
If we subtract 164 from 220, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 13:
The number 82 fits into 560 6 times, leaving a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 198.42682926
If we subtract 492 from 560, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Our division results in 198.42682926 with a remaining 6.8e-08.