Pass learner, for example, with Eastern educational institution (7)
I believe the answer is:
college
'educational institution' is the definition.
(college is a kind of educational institution)
'pass learner for example with eastern' is the wordplay.
'pass' becomes 'col' (col is a term for a mountain pass).
'learner' becomes 'l'.
'for example' becomes 'e.g.' (synonyms).
'with' says to put letters next to each other.
'eastern' becomes 'e'.
'col'+'l'+'eg'+'e'='COLLEGE'
(Other definitions for college that I've seen before include "Where one learns" , "Place of higher education" , "Educational or electoral establishment" , "School" , "pudding?" .)