"Get shut of" is a British English idiom which means to dispose of something or someone, to get rid of them completely. There are many synonyms for this phrase, including "remove," "eliminate," "oust," "discard," "banish," "evict," and "jettison." Each of these words suggests a different way of getting rid of something, whether it be through forceful means (oust), voluntary action (discard), or casting out (banish). Depending on the context, any of these words could be used instead of "get shut of" to convey the same meaning of getting rid of something or someone entirely.