quarter vs quartering

quarter and quartering both are nouns.

Word	Noun	Adjective	Verb	Adverb
quarter	Yes	No	Yes	No
quartering	Yes	No	No	No

quarter (noun)	quartering (noun)
clemency or mercy shown to a defeated opponent	dividing into four equal parts
the rear part of a ship	living accommodations (especially those assigned to military personnel)
piece of leather that comprises the part of a shoe or boot covering the heel and joining the vamp	a coat of arms that occupies one quarter of an escutcheon; combining four coats of arms on one shield usually represented intermarriages
a district of a city having some distinguishing character
an unspecified person
a United States or Canadian coin worth one fourth of a dollar
one of four equal parts
a quarter of a hundredweight (25 pounds)
a quarter of a hundredweight (28 pounds)
one of the four major division of the compass
one of four periods into which the school year is divided
(football, professional basketball) one of four divisions into which some games are divided
a fourth part of a year; three months
a unit of time equal to 15 minutes or a quarter of an hour

quarter (verb)	quartering (verb)
divide by four; divide into quarters
divide into quarters
pull (a person) apart with four horses tied to his extremities, so as to execute him
provide housing for (military personnel)