DNA replication in eukaryotes involves three main stages: initiation, elongation, and termination. Initiation begins at origins of replication, where the pre-replication complex forms. During elongation, DNA polymerase adds nucleotides to grow new DNA strands by copying existing template strands. Elongation of the leading strand is continuous while the lagging strand occurs in fragments called Okazaki fragments. Termination occurs when the replication forks meet, and the DNA strands are fully replicated. Telomeres protect chromosome ends during replication to prevent shortening with each cell division.