ADJ

clear, distinct, simple
Sometimes there is no simple division between good and evil
complex, elaborate
rigid
broad, rough
equal, fair
unequal, unfair
an unequal division of the cake an unfair division of labour
conventional, time-honoured
the conventional division of language into grammar and vocabulary
theoretical
hierarchical
hierarchical division between 'workers' and 'management'
threefold, three-way, tripartite
cell

VERB + DIVISION

make
You can make a rough division of his music into 'light' and 'serious'

PREP

~ among
His will detailed his assets and gave instructions for their division among his children
~ between
the division of the money between the members
~ into
In selling there is a broad division into direct and indirect methods

PHRASES

the division of labour, the division of wealth

ADJ

bitter, deep, great, sharp
There are sharp divisions within the party over the privatization of the railways
fundamental
factional, internal
factional divisions within the party
traditional
north-south
class, cultural, ethnic, gender, ideological, linguistic, political, sexual, social, societal

VERB + DIVISION

create, provoke
exploit
heal
The prime minister's speech will attempt to heal divisions within his party

PREP

~ among
There are reports of serious divisions among senior party members
~ between, ~ within
division within the government

ADJ

regional
industrial, manufacturing, marketing, retail, sales, training, wholesale
administrative
the administrative divisions of the Roman Empire
airborne, armoured, infantry, etc.
first, high, low, premier, second, senior, top, etc. (sport)
He's now playing football in the higher divisions
heavyweight, lightweight, middleweight, etc. (= in boxing, etc.)

PREP

in the … ~
They compete in the senior division of the chess league

ADJ

long

VERB + DIVISION

do
Can you do long division?

PREP

~ by
division by three