We're dividing 34 by 82 
We want to divide 34 by 82.

Advancing to step 1:
3 divided by 82 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 82

Let's proceed to step 2:
When dividing 34 by 82, we get 0 with a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 34, we 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.

Moving on to step 3:
When dividing 340 by 82, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 0.4
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 4:
82 goes into 120 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 0.41
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 5:
82 goes into 380 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 0.414
Subtracting 328 from 380 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 6:
82 goes into 520 6 times with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 0.4146
Deduct 492 from 520 and we're left 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.

Step 7:
82 goes into 280 3 times with a remainder of 34.
The next digit of our result is 3. 
Result so far: 0.41463
Deduct 246 from 280 and we're left 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.

Going ahead to step 8:
82 can be fit into 340 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 0.414634
If we subtract 328 from 340, we 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.

Advancing to step 9:
The number 82 fits into 120 1 times, leaving a remainder of 38.
The next digit of our result is 1. 
Result so far: 0.4146341
Subtract 82 from 120 to 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.

Let's proceed to step 10:
82 can be fit into 380 4 times, resulting in a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 0.41463414
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.

The quotient of the division is 0.41463414, and the remainder is 5.2e-08.