'orderly-partitioned' originates from English, combining 'orderly' (from 'order' + suffix '-ly') and the past participle of 'partition'. 'order' ultimately traces to Latin 'ordo' meaning 'row, rank, order'; 'partition' originates from Latin 'partire' meaning 'to divide'.

'orderly' developed in English from Old French and Latin influences (Latin 'ordo' → Old French 'ordre' → Middle English 'order'), while 'partition' came into English via Old French/Anglo-Norman (Latin 'partire' → Old French 'particion'/'partition' → Middle English 'partition'), and the hyphenated compound 'orderly-partitioned' is a modern English formation combining the adjective 'orderly' with the past participle form of 'partition'.

Initially the roots conveyed 'order' (arrangement) and 'partire' (to divide); over time these retained their senses, and the compound has come to mean 'divided in an orderly way' in modern usage.