271261 ÷ 82 
Our goal is to divide 271261 by 82.

On to step 1:
82 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 82

Advancing to step 2:
27 divided by 82 is 0 with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 27 after subtracting 0 from 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 82

Going ahead to step 3:
If we divide 271 by 82, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 246 from 271, we get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 82

Let's proceed to step 4:
82 goes into 252 3 times with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Deduct 246 from 252 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 82

Let's proceed to step 5:
If we divide 66 by 82, we get 0 and a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 330.0
If we take 0 away from 66, we end up with 66.
Include the next digit (1) from the dividend after 66, then repeat: 661 / 82

Moving on to step 6:
82 goes into 661 8 times with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 3308.0
Subtract 656 from 661 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
When dividing 50 by 82, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 3308.0
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 8:
82 goes into 500 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 3308.06
The remainder is 8 after subtracting 492 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 82, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 3308.06
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 10:
If we divide 800 by 82, we get 9 and a remainder of 62.
The number 9 becomes the next digit in our result. 
Result so far: 3308.0609
Subtracting 738 from 800 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 11:
When dividing 620 by 82, we get 7 with a remainder of 46.
The next digit of our result is 7. 
Result so far: 3308.06097
If we subtract 574 from 620, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 12:
82 goes into 460 5 times with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 3308.060975
The remainder is 50 after subtracting 410 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
82 goes into 500 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 3308.0609756
If we subtract 492 from 500, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
82 can be fit into 80 0 times, resulting in a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 3308.0609756
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 3308.0609756, with a leftover of 8e-08.