The phrase, 'draws out' as used here means:

In the sentence 'The train simply draws out of the station,' the phrase 'draws out' means the train slowly and smoothly moves out of the station. It does not hurry or break away abruptly. 'Clears out' would imply emptying, and 'breaks away' suggests a sudden, forceful departure. 'Moves out' best captures the gentle, gradual departure described in the passage.