Synonyms of division in English:

dividing, dividing up, breaking up, break-up, cutting up, carving up, severance, splitting, dissection, bisection, cleaving

partitioning, separation, segregation, disconnection, detachment

sharing out, dividing up, parcelling out, allocation, allotment, apportionment, distribution, dispensation, disbursement

splitting up, carving up, slicing up

informal divvying up, dishing out

dividing line, divide, boundary, boundary line, borderline, border, partition, margin, demarcation line, line of demarcation, cut-off point

section, subsection, subdivision, part, portion, piece, bit, segment, slice, fragment, chunk, component, share

compartment, category, class, group, grouping, set, order, batch, family

department, branch, arm, wing, sector, section, subsection, subdivision, subsidiary, detachment, office, bureau, offshoot, satellite, extension

disunity, disunion, conflict, discord, disagreement, dissension, disaffection, estrangement, alienation, isolation, detachment

variance, difference

difference of opinion, feud, breach, rupture, split, chasm

informal falling-out

rare scission