There exist certain general terms for division which are applied at various levels of the system of rhetoric. Each of these could be considered synonymous withe the Topic of Invention: Division and have been used as methods of Amplification.
merismus (The dividing of a whole into its parts.)
diaeresis (#1) (The logical division of a genus into its species.)
distributio (#2) (A synonym for diaeresis or merismus)
Certain figures of division provide order within a speech (Compare Parts of an Oration: Partitio, Propositio):
eutrepismus (Numbering and ordering the parts under consideration.)
enumeratio (Dividing a subject into its adjuncts, a cause into its effects, or an antecedent into its consequents.)
taxis (To divide a subject up into its various components or attributes.)
distributio (#1) (Assigning roles among or specifying the duties of a list of people, sometimes accompanied by a conclusion)
tmesis (Interjecting a word or phrase between parts of a compound word or between syllables of a word.)
Certain figures describe syntactical or semantic divisions within a sentence, such as the zeugma figures. All of the zeugma figures depend upon a division in how one word is applied to or governs other words in a sentence and by using division carry a sort of distributive function:
zeugma (One part of speech governs two or more other parts of a sentence.)