Decrypting arbitrary offset of encrypted file

I want to store encrypted files on some storage backend that allows me to fetch bytes X through Y of the encrypted file. I can obviously decrypt the entire file locally and send it back to the client.

However, if the file is very large it would be nice to be able to arbitrarily decrypt that byte range on the fly. If possible, I'd like to be able to decrypt the parts by different servers at the same time (so I won't necessarily have the full decryption chain at hand).

Is there any block cipher mode that would allow for something like this, or any possible way at all?