The Collaborative International Dictionary of English v.0.48:

Divination \Div`i*na"tion\, n. [L. divinatio, fr. divinare,
   divinatum, to foresee, foretell, fr. divinus: cf. F.
   divination. See Divine.]
   1. The act of divining; a foreseeing or foretelling of future
      events; the pretended art discovering secret or future by
      preternatural means.
      [1913 Webster]

            There shall not be found among you any one that . .
            . useth divination, or an observer of times, or an
            enchanter.                            --Deut. xviii.
                                                  10.
      [1913 Webster]

   Note: Among the ancient heathen philosophers natural
         divination was supposed to be effected by a divine
         afflatus; artificial divination by certain rites,
         omens, or appearances, as the flight of birds, entrails
         of animals, etc.
         [1913 Webster]

   2. An indication of what is future or secret; augury omen;
      conjectural presage; prediction.
      [1913 Webster]

            Birds which do give a happy divination of things to
            come.                                 --Sir T.
                                                  North.
      [1913 Webster]

WordNet (r) 3.0 (2006):

divination
    n 1: successful conjecture by unusual insight or good luck
    2: a prediction uttered under divine inspiration [syn:
       prophecy, divination]
    3: the art or gift of prophecy (or the pretense of prophecy) by
       supernatural means [syn: divination, foretelling,
       soothsaying, fortune telling]

Moby Thesaurus II by Grady Ward, 1.0:

69 Moby Thesaurus words for "divination":
   alchemy, astrodiagnosis, astrology, astromancy, augury, bewitchery,
   charm, clairvoyance, crystal ball, crystal gazing, divining,
   enchantment, fetishism, fortunetelling, genethliacs, genethlialogy,
   glamour, gramarye, halomancy, haruspication, haruspicy, hoodoo,
   horoscopy, idolomancy, juju, jujuism, magic, mantic, mantology,
   natural magic, necromancy, obeah, onomancy, palm-reading,
   palmistry, pythonism, rune, shamanism, sorcery, sortes Biblicae,
   sortes Homericae, sortes Praenestinae, sortes Vergilianae,
   sortilege, spatulamancy, spell, spellbinding, spellcasting,
   spodomancy, stichomancy, sycomancy, sympathetic magic,
   thaumaturgia, thaumaturgics, thaumaturgism, thaumaturgy, theomancy,
   theurgy, vampirism, voodoo, voodooism, wanga, white magic,
   witchcraft, witchery, witchwork, wizardry, xylomancy, zoomancy



Easton's 1897 Bible Dictionary:

Divination
   of false prophets (Deut. 18:10, 14; Micah 3:6, 7, 11), of
   necromancers (1 Sam. 28:8), of the Philistine priests and
   diviners (1 Sam. 6:2), of Balaam (Josh. 13:22). Three kinds of
   divination are mentioned in Ezek. 21:21, by arrows, consulting
   with images (the teraphim), and by examining the entrails of
   animals sacrificed. The practice of this art seems to have been
   encouraged in ancient Egypt. Diviners also abounded among the
   aborigines of Canaan and the Philistines (Isa. 2:6; 1 Sam. 28).
   At a later period multitudes of magicians poured from Chaldea
   and Arabia into the land of Israel, and pursued their
   occupations (Isa. 8:19; 2 Kings 21:6; 2 Chr. 33:6). This
   superstition widely spread, and in the time of the apostles
   there were "vagabond Jews, exorcists" (Acts 19:13), and men like
   Simon Magus (Acts 8:9), Bar-jesus (13:6, 8), and other jugglers
   and impostors (19:19; 2 Tim. 3:13). Every species and degree of
   this superstition was strictly forbidden by the law of Moses
   (Ex. 22:18; Lev. 19:26, 31; 20:27; Deut. 18:10, 11).

     But beyond these various forms of superstition, there are
   instances of divination on record in the Scriptures by which God
   was pleased to make known his will.

     (1.) There was divination by lot, by which, when resorted to
   in matters of moment, and with solemnity, God intimated his will
   (Josh. 7:13). The land of Canaan was divided by lot (Num. 26:55,
   56); Achan's guilt was detected (Josh. 7:16-19), Saul was
   elected king (1 Sam. 10:20, 21), and Matthias chosen to the
   apostleship, by the solem lot (Acts 1:26). It was thus also that
   the scape-goat was determined (Lev. 16:8-10).

     (2.) There was divination by dreams (Gen. 20:6; Deut. 13:1, 3;
   Judg. 7:13, 15; Matt. 1:20; 2:12, 13, 19, 22). This is
   illustrated in the history of Joseph (Gen. 41:25-32) and of
   Daniel (2:27; 4:19-28).

     (3.) By divine appointment there was also divination by the
   Urim and Thummim (Num. 27:21), and by the ephod.

     (4.) God was pleased sometimes to vouch-safe direct vocal
   communications to men (Deut. 34:10; Ex. 3:4; 4:3; Deut. 4:14,
   15; 1 Kings 19:12). He also communed with men from above the
   mercy-seat (Ex. 25:22), and at the door of the tabernacle (Ex.
   29:42, 43).

     (5.) Through his prophets God revealed himself, and gave
   intimations of his will (2 Kings 13:17; Jer. 51:63, 64).


The Devil's Dictionary (1881-1906):

DIVINATION, n.  The art of nosing out the occult.  Divination is of as
many kinds as there are fruit-bearing varieties of the flowering dunce
and the early fool.