33568 ÷ 2 = 16784 R0
Alright, let's work through the division of 33568 by 2 step by step.

Step 1:
2 goes into 3 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 2 from 3 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Step 2:
2 goes into 13 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 12 from 13 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Step 3:
2 goes into 15 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 167
Subtract 14 from 15 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 4:
2 goes into 16 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 1678
Subtract 16 from 16 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 2

Step 5:
2 goes into 8 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 16784
Subtract 8 from 8 to get 0.

The final result is 16784 with a remainder of 0.