As an article se
is adjectival article for definite feminine singular adjectives in the genitive, dative and ablative cases.
As an adjective quarter is
pertaining to an aspect of a.
As a noun quarter is
any one of four equal parts into which something has been divided.
As a verb quarter is
to divide into quarters or
quarter can be (obsolete) to drive a carriage so as to prevent the wheels from going into the ruts, or so that a rut shall be between the wheels.