Quotition

Quotition is an arithmetic concept that concerns how we look at fractions and division. Division involves thinking about a whole in terms of its parts. One frequent division notion, a natural number of equal parts, is "partition".The basic concept behind partition is "sharing". In sharing a whole entity becomes an integer number of equal parts.What quotition concerns is explained by removing the word "integer" in the last sentence. Allow "number" to be "any fraction" and you have quotition instead of partition. The source [http://extranet.edfac.unimelb.edu.au/DSME/arithmetic/FTACDROM1.1/fractions/operations/divfract.shtml] shows what to do when the fraction is a ratio of integers or rational. The key to quotition problem statements is the phrase "how many are in."From a dictionary definition [http://dictionary.reference.com/browse/quotidian] of a related word in physics, "quotidian", the phrase "how many" is from the word's origins: "Middle English cotidien, from Old French, from Latin qutdinus, from qutdi, each day : quot, how many, as many as". The word stub [http://en.wikipedia.org/wiki/Quotidian_physics] conveys the sense that in physics three- and four-dimensions are ordinary, yet another sense of the term.