Remoting and WebService are a bit different. Remoting is a method of 'sharing' or using an object across ApplicationDomains. WebServices are typically more about a functionality then an complex object. Remoting objects typically do or can maintain state between calls, Webservices do not.

An example use of a webservice would be methods that are used but not necessarily related to each other other than subject. Things like GetRecentAccountingData, AddErrorToLog, things you just call once and forget about.

Remoting might be a user object that you might want to share the same instance of with multiple applications with events, or a factory object that resides on a server and accesses the servers local data but responds and in the client application, more complex objects that you typcially don't just call but work with.

This is not always true just an attempt at an few examples.