"One way to consider the concepts of continuous versus discontinuous replication of DNA is in terms of obtaining tape from a role of tape. Sometimes you need a lot of tape and can unroll the tape as you adhere the tape. In this case, the tape essentially is applied as fast as it is unrolled and is being unrolled as fast as it is applied, though with each process occurring in slightly different locations."

A very clear explanation of DNA replication is in the link.