Race Comment Explainer

Original comment with matches highlighted:

rear mid-division, some 5th aft 13th, pushed along in 5th after 14th, , never involved

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Mid-division	Running in the middle of the pack.
Plugged on	Kept going without showing much pace.
Headway	The horse was moving up through the field.
Rear	Running near the back of the field.

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Running in the middle of the pack.
Kept going without showing much pace.
The horse was moving up through the field.
Running near the back of the field.