When a eukaryotic cell divides, the daughter cells inherit a complete copy of the parent cell's genetic material (DNA). This ensures that each daughter cell has the same genetic blueprint as the original cell, allowing them to function independently.

The process of eukaryotic cell division can occur through two primary mechanisms:

* Mitosis: This is the process of cell division that produces two daughter cells that are genetically identical to the parent cell. It's responsible for growth, repair, and asexual reproduction in multicellular organisms.

* Meiosis: This is the process of cell division that produces four daughter cells, each with half the number of chromosomes as the parent cell. It's responsible for producing gametes (sperm and egg cells) for sexual reproduction.

In both mitosis and meiosis, the chromosomes are duplicated before the cell divides. This ensures that each daughter cell receives a complete set of chromosomes.

Here's a breakdown:

* Mitosis: The chromosomes are replicated, and then the cell divides into two identical daughter cells.

* Meiosis: The chromosomes are replicated, and then the cell divides twice, resulting in four daughter cells with half the number of chromosomes as the parent cell.

Therefore, when a eukaryotic cell divides, the daughter cells inherit a full set of genetic information, enabling them to carry out the same functions as the parent cell.