NOUN (3)

1. a coat of arms that occupies one quarter of an escutcheon; combining four coats of arms on one shield usually represented intermarriages;

2. living accommodations (especially those assigned to military personnel);

3. dividing into four equal parts;

The Collaborative International Dictionary of English v.0.48:

Quarter \Quar"ter\ (kw[aum]r"t[~e]r), v. t. [imp. & p. p.
   Quartered; p. pr. & vb. n. Quartering.]
   1. To divide into four equal parts.
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   2. To divide; to separate into parts or regions.
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            Then sailors quartered heaven.        --Dryden.
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   3. To furnish with shelter or entertainment; to supply with
      the means of living for a time; especially, to furnish
      shelter to; as, to quarter soldiers.
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            They mean this night in Sardis to be quartered.
                                                  --Shak.
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   4. To furnish as a portion; to allot. [R.]
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            This isle . . .
            He quarters to his blue-haired deities. -- Milton.
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   5. (Her.) To arrange (different coats of arms) upon one
      escutcheon, as when a man inherits from both father and
      mother the right to bear arms.
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   Note: When only two coats of arms are so combined they are
         arranged in four compartments. See Quarter, n., 1
      (f) .
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The Collaborative International Dictionary of English v.0.48:

Quartering \Quar"ter*ing\, a.
   1. (Naut.) Coming from a point well abaft the beam, but not
      directly astern; -- said of waves or any moving object.
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   2. (Mach.) At right angles, as the cranks of a locomotive,
      which are in planes forming a right angle with each other.
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The Collaborative International Dictionary of English v.0.48:

Quartering \Quar"ter*ing\, n.
   1. A station. [Obs.] --Bp. Montagu.
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   2. Assignment of quarters for soldiers; quarters.
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   3. (Her.)
      (a) The division of a shield containing different coats of
          arms into four or more compartments.
      (b) One of the different coats of arms arranged upon an
          escutcheon, denoting the descent of the bearer.
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   4. (Arch.) A series of quarters, or small upright posts. See
      Quarter, n., 1
      (m) (Arch.) --Gwilt.
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   Quartering block, a block on which the body of a condemned
      criminal was quartered. --Macaulay.
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WordNet (r) 3.0 (2006):

quartering
    n 1: a coat of arms that occupies one quarter of an escutcheon;
         combining four coats of arms on one shield usually
         represented intermarriages
    2: living accommodations (especially those assigned to military
       personnel)
    3: dividing into four equal parts