Prokaryotes typically reproduce by binary fission: the cell replicates all of its organelles and genetic material, then divides into two identical cells. Specifically, the genes in the two new cells are identical to each other and the parent cell.
In eurkaryotes there are two kinds of cell division:
1. Mitosis, in which the entire cell doubles it nucleus, genetic material, and organelles and splits to produce two identical cells with identical genetic material.
2. Meiosis, which occurs in the process of sexual reproduction. In meiosis, two pairs of genetic material combine before the cells splits, producing cells that have genes that are different from each other and the parent cell.
The main issue is whether the genetic material in the new cells is the same or different, and the forgoing should make that clear.