Race Comment Explainer

Original comment with matches highlighted:

steadied in rear, pushed along and on well well over 1f out, well inside last,

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Never nearer	The horse's closest point to the leader was the position it finished in (ran on late).
Headway	The horse was moving up through the field.
Ran on	The horse maintained or increased its speed in the final stages.
Rear	Running near the back of the field.

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
The horse's closest point to the leader was the position it finished in (ran on late).
The horse was moving up through the field.
The horse maintained or increased its speed in the final stages.
Running near the back of the field.