दानँ = चंद्र बिंदी and
दाण =
दानँ = pull/push(न/ण) (with) desire(आ) to share(द) = break with desire to give/share = divide
roll/throw until pull = refers to
दाण = push with desire to share

धातु पाठ अर्थ
खण्डन = break, divide
pending from here
आर्जव = ऋज् + कु +अण् = refers to someone willing to divide and share
superior pull + do hand held / do stone + कर्म-ification

रूढ अर्थ

  1. cut in divide sense
  2. straight - in pull untill roll sense
  3. divide - in divide to share sense.

commentary
Divide has concept of break and share because breaking to share is meaning of दान्