338 ÷ 8 = 42 R2
Let's divide 338 by 8.

Step 1:
8 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 / 8

Step 2:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 33 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 8

Step 3:
8 goes into 18 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 16 from 18 to get 2.

The final result is 42 with a remainder of 2.