The Collaborative International Dictionary of English v.0.48:

Stable \Sta"ble\, v. t. [imp. & p. p. Stabled (-b'ld); p. pr.
   & vb. n. Stabling (-bl[i^]ng).]
   To put or keep in a stable.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Stabling \Sta"bling\ (-bl[i^]ng), n.
   1. The act or practice of keeping horses and cattle in a
      stable.
      [1913 Webster]

   2. A building, shed, or room for horses and cattle.
      [1913 Webster]

WordNet (r) 3.0 (2006):

stabling
    n 1: accommodation for animals (especially for horses)