I believe these are the steps
1. Isolate DNA from the organism
2. Cut DNA with restriction enzymes
3. Insert DNA fragments into a "vector" (plasmid)
4. Introduce recombinant DNA into bacterial host cell (E.coli) for replication
5.Grow the host and reisolate recombinant DNA clones
**to distinguish host cells carrying plasmids with dna inserts, the vector should have a selectable marker gene- usually an antibiotic gene or an enzyme absent from host cell, when plated on this antibiotic it will be obvious to see host cells.