We look at the division of 82 by 3 
Let's see how many times 3 fits into 82.

Let's proceed to step 1:
3 can be fit into 8 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 2 after subtracting 6 from 8.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 3

Let's proceed to step 2:
3 can be fit into 22 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 27.0
If we take 21 away from 22, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 3:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 27.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 4:
If we divide 10 by 3, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 27.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 27.33 and a remainder of 0.001.