Dividing rhymes with:
providing, abiding, biding, chiding, coinciding, colliding, confiding, deciding, deriding, gliding, guiding, hiding, presiding, providing, residing, riding, siding, sliding, striding, subsiding, tiding, widing
Dividing sounds like:
davidian's, davidians, debating, debuting, defeating, deviating, deviations, devoting, diphthong, doubting