In Islam divorce is talaq which means “freeing or undoing the knot.”
A wife can ask for Khula and the husband is bound to grant it.
Narrated Ibn ‘Abbas: The wife of Thabit bin Qais came to the Prophet and said, “O Allah’s Apostle! I do not blame Thabit for defects in his character or his religion, but I, being a Muslim, dislike to behave in un-Islamic manner (if I remain with him).” On that Allah’s Apostle said (to her), “Will you give back the garden which your husband has given you (as Mahr)?” She said, “Yes.” Then the Prophet said to Thabit, “O Thabit! Accept your garden, and divorce her once.” [ Sahih Bukhari 63 .197]