Remains after Frenchman goes to joint - because of this one has a sense of belonging (10)

'because of this one has a sense of belonging' is the definition.
Although both the answer and definition are singular nouns, I don't understand how one could define the other.

'remains after frenchman goes to joint' is the wordplay.
'remains' becomes 'embers' (remains of a fire).
'after' is a charade indicator (letters next to each other).
'frenchman' becomes 'm' (abbreviation for Monsieur - like 'Mr').
'goes to' says to put letters next to each other.
'joint' becomes 'hip' (part of body).
'embers' put after 'm' is 'members'.
'members'+'hip'='MEMBERSHIP'

Can you help me to learn more?