Behind in the City, primate comes to Province (7,4)

I believe the answer is:

eastern cape

I'm a little stuck... Click here to teach me more about this clue!

'to province' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'behind in the city primate' is the wordplay.
'behind' becomes 'astern' (at the back or behind of a ship).
'in the' means one lot of letters goes inside another.
'city' becomes 'EC' (the City of London postcode).
'primate' becomes 'ape' (large primate).
'astern' put within 'ec' is 'easternc'.
'easternc'+'ape'='EASTERN CAPE'

'comes' is the link.

Can you help me to learn more?

I've seen this clue in The Independent.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.