The steps of meiosis are the same for both males and females, but the end result is different because the female produces an egg, while the male produces sperm. The process is also named differently in the sexes. The stage of meiosis in a female is called oogenesis, and in a male it is called spermatogenesis.
These two types of meiosis happen in different places of the body as well, though both locations are the sex organs for the given sex. A female's eggs are produced in the ovaries or gonads, while a male's sperm is produced in the testes. The general term for this type of meiosis is called gametogenesis. The gametes produced during meiosis will later play a part in the reproductive cycle.
A female produces one egg on average during every menstrual cycle. A male creates on average 200 million sperm per day. The male gametes, or sperm, will fertilize the female gametes, or eggs. These haploid cells each carry copies of the parents DNA, which will be halved and then recombined to create the new DNA mix for the offspring. Each fertilized egg will have a combination of DNA from both parents, which will cause the offspring to appear different, but be genetically similar to both their parents.