Prokaryote is a simple cell without a nucleus or other membrane-bound organelles.
Eukaryote is an organism with membrane-bound organelles, most notably the nucleus, and DNA linked to histone proteins. Prokarytic cells reproduce by dividing equally by fission, or unequally by budding. Eukaryotic cells normally reproduce by mitosis, a process that includes nuclear replication. Hence mitotic division produces two identical daughter nuclei. Mitosis in an eukaryotic cell is usually followed by cell division.