2006 ÷ 6 = 334 R2
Let's divide 2006 by 6.

Step 1:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 2:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 18 from 20 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 6

Step 3:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 33
Subtract 18 from 20 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 4:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 334
Subtract 24 from 26 to get 2.

The final result is 334 with a remainder of 2.