A protozoan that divides to form two daughter cells just like itself would be undergoing binary fission.
Binary fission is a type of asexual reproduction which usually occurs in some single-celled organisms (protozoan) such as amoeba, and in prokaryotes such as bacteria. In the process of binary fission, DNA replication, and segregation takes place at the same time. The genetic material (DNA) of an organism is duplicated, and it then divides into two parts (forming two genetically identical daughter cells), and each new organism receives one copy of DNA.