Where does the apostrophe go in sentence The orangatang enjoys swinging from tree branches?

The sentence "The orangatang enjoys swinging from tree branches" is grammatically correct as it stands. There is no need for an apostrophe in this sentence.

Apostrophes are used for:

* Possession: For example, "The orangutan's swing" (showing the orangutan owns the swing).

* Contractions: For example, "It's" (short for "it is").

* Plurals of letters or numbers: For example, "Mind your p's and q's."

Since the sentence is about the orangutan's action, not possession, there is no need for an apostrophe.