Thats not a dog, its a monkey.
Monkeys are fairly resistant to demon possesion, though it is not completely unheard of. Just to be on the safe side submerge the monkey in holy water or holy pepsi for two to three minutes and dry using Martha Stewart brand bath towels. If you submerge the monkey for longer than three minutes you risk angering the gods and/or recieving a monkey bite. You do not want to be bitten by a monkey, trust me on this one.