When someone remains in a place for a longer period than they are supposed to, we often use the word "overstaying". However, there are many synonyms that can be used instead of this word. Depending on the context, some of the possible synonyms for "overstaying" could be lingering, remaining, extending, or delaying. Other words that may be used include overstating, going beyond, going over, or staying beyond. Ultimately, the appropriate synonym will depend on the specific situation, as well as the tone and purpose of the sentence. Nevertheless, the different options available provide a range of possibilities for adding variety and nuance to our language.