Step 1: Understanding the Concept
DNA polymerase adds nucleotides only in the 5' to 3' direction, and the two template strands run in opposite directions.
Step 2: Leading strand
On the leading strand the 5' to 3' direction runs towards the replication fork, so synthesis is continuous.
Step 3: Lagging strand
On the lagging strand the 5' to 3' direction runs away from the fork. It is made in short pieces called Okazaki fragments, later joined by DNA ligase.
Step 4: Compare the options
Okazaki fragments elongate the lagging strand away from the replication fork.
Final Answer:
Okazaki fragments are used to elongate the lagging strand away from the replication fork.
\[ \boxed{\text{(B) }\text{the lagging strand away from the replication fork}} \]