Crossword Genius

Daughters entering singly at first, in a state (9)

Ross

I believe the answer is:

indonesia

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

'state' is the definition.
(Indonesia is an example)

'daughters entering singly at first in a' is the wordplay.
I cannot really understand how this works, but
'daughters' could be 'd' and 'd' is located in the answer.
'at' could be 'on' (location) and 'on' is located in the answer.
'first' could be 'i' (I in Roman numerals eg Elizabeth I) and 'i' is found in the answer.
'a' is found in the answer.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for indonesia that I've seen before include "part of Asia" , "Muslim republic" , "State" , "Asian country, capital Jakarta" , "SE Asian country" .)

I've seen this clue in The Times.
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