From the second edition (1989):
syllabification
(sɪˌlæbɪfɪˈkeɪʃən) [n. of action f. med.L. syllabificāre, f. syllaba syllable: see -fication.]


Formation or construction of syllables; the action or method of dividing words into syllables.

1838 Guest Engl. Rhythms I. 23 The early systems of syllabification. 1843 Poe Premature Burial Wks. 1864 I. 330 What he said was unintelligible; but‥the syllabification was distinct. 1862 J. Angus Hand-bk. Engl. Tongue 495 Rules of syllabification. 1972 Webster's New World Dict. (Delux Color ed.) p. x, The syllabifications used in this dictionary are in the main those in general use by printers since the 18th century. 1977 Archivum Linguisticum VIII. 87 Such questions, he states, are now ‘reduced to practical matters of articulatory adjustment in particular languages’‥—which would seem to imply that syllabification rules are part of particular phonologies. 1979 Collins Eng. Dict. p. x, Syllabification breaks are shown for all headwords. 1980 Verbatim Spring 19/1 Lexicography is not simply adding one good point to another to make an ideal dictionary, but balancing the saving of space against fullness of information, the amount of information against cost, a more exact pronunciation guide against added difficulty for some users, the addition of extra information (pronunciation or syllabification) in the headword at the expense of its clean appearance.