1082 ÷ 3 = 360 R2
Alright, let's work through the division of 1082 by 3 step by step.

Step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 3

Step 2:
3 goes into 10 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 10 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 3

Step 3:
3 goes into 18 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 36
Subtract 18 from 18 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 3

Step 4:
3 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 360
Subtract 0 from 2 to get 2.

The final result is 360 with a remainder of 2.