How does mitosis ensure that a new cell is identical to parent cell?

In mitosis there are four phases: Prophase, Anaphase, Metaphase, and telophase. Along with cytokinesis. In these four phases cell division is occurring or ASEXUAL REPRODUCTION. In cell division there is also G1 phase S phase and G2 phase. Im the G1 phase this is where cell division occurs. In S phase the replication of DNA is occured too. And in the G2 phase it is the phase in which the cell prepares for mitosis which is made up of the four phases listed above. So to answer the question mitosis yeilds daughter cells to have the same DNA content by going through these cell division processes.