Can property be divided without marriage registration?

(Baonghean.vn) - According to information provided by Mr. Nguyen Thanh A: He and Ms. Tran Thi C have lived together as husband and wife since 1994 until now and have a child together but have not yet registered their marriage.The assets during the cohabitation period include: 01 house with papers under Mr. A's name, 01 car and 01 piece of land bought together with another person under Ms. Tran Thi C's name. Up to now, due to conflicts, the two people no longer live together. In your opinion, should Mr. A and Ms. C go to court to file for divorce? How will the children and assets be divided?

In your opinion, can property be divided in the case of living together without registering for marriage as above?