I always travel with several photocopies of the most important pages of my passport. If there is a local regulation saying that the police must come round every day to inspect all pasports, you will have to hand over the original passport but you can confirm with the receptionist (and insist ) that you will collect it the next day. For all other purposes the hotel can manage with a photocopy. Also, if your passport gets stolen, you can take a photocopy to the British Consulate ( not Embassy) and they can stamp it with an official stamp to make it into a temporary travel document which will get you back to the UK