3006 ÷ 7 = 429 R3
Let's divide 3006 by 7.

Step 1:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 7

Step 2:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 30 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 3:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 14 from 20 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 4:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 429
Subtract 63 from 66 to get 3.

The final result is 429 with a remainder of 3.