3369 ÷ 6 = 561 R3
We're going to perform division on 3369 with 6 as the divisor.

Step 1:
6 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 (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 2:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 33 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 3:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 56
Subtract 36 from 36 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 6

Step 4:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 561
Subtract 6 from 9 to get 3.

The final result is 561 with a remainder of 3.