Fromdivide +‎-able.

dividable (comparativemoredividable,superlativemostdividable)

1. Capable of beingdivided (into fractions or parts).

   adividable plant; adividable lot;dividable property

   • 1674,Seth Ward, “An Apology for the Mysteries of the Gospel” inSeven Sermons, London: James Collins, p. 14,^[1]

     The whole Gospel is generallydividable into 1. Historical Narrations. 2. Moral Institutions and Motives. 3. Dogmatical Mysteries.

   • 1683,Henry Care,The Darkness of Atheisme Expelled by the Light of Nature, London: D. Brownet al., Theorem 7, p. 9,^[2]

     Infinite being is notdividable.

   • 1919,Lewis R. Freeman, “A Battleship at Sea”, inStories of the Ships‎^[3], London: John Murray, pages119–120:

     I was now able to observe that the sailors, marooned on the benches, tables, and other islands of refuge, were roughlydividable into three classes—the prostrate ones, who heaved drunkenly to the roll and took no notice of the primal chaos about them; the semi-prostrate ones, who were still able to exhibit mild resentment when the tidal wave engulfed or threatened to engulf them; and the others—some lounging easily, but the most perched or roosted on some dry but precarious pinnacle—who quaffed great mugs of hot tea and bit hungrily into hunks of bread and smoked fish.

2. (obsolete) Capable of beingseparated (from something).
   • 1668,Margaret Cavendish,Ground of Natural Philosophy‎^[4], London,Part 12, Chapter 17, p. 199:

     Some sorts of hot Baths are as naturally Sulphureous, as the Sea-water is Salt: but, all those Effects of Minerals, Sulphurs, and the like, aredividable from, and also may be joyn’d to, the Body of water, without any disturbance to the nature of water;

3. (obsolete) Divided;separated;parted.
   • c.1602,William Shakespeare, “The Tragedie of Troylus and Cressida”, inMr. William Shakespeares Comedies, Histories, & Tragedies […] (First Folio), London: […] Isaac Iaggard, andEd[ward] Blount, published1623,→OCLC, [Act I, scene iii]:

     Peaceful commerce fromdividable shores,

• (capable of being divided):divisible

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