門地 is read as もんち (monchi) and means degree.
もんち
monchi
ろじもん
gate to the garden of a tea ceremony house
もん
branch of learning based on the teachings of a single master
と
door (esp. Japanese-style)
かどで
starting a new life
もんぜんまち
town originally built around a temple or shrine
もんかせい
pupil
もんがいかん
outsider
もんぜん
before the gate
もんこ
door
もんか
one's pupil
もんぜんばらい
turning another away at the gate or front door
もんがいふしゅつ
(treasuring something by) never taking (it) off the premises