The win is New Zealand's 10th from 11 ODIs, Tests and Twenty20s at home this summer, with one T20 match against the West Indies washed out.
It was Pakistan's lowest total against New Zealand and the hosts' winning margin eclipsed the previous best of 138 runs when the two sides met in 2001 in Christchurch.
Babar Azam was then run out in extraordinary circumstances, when his bat stuck in a used pitch neighboring the match wicket, and Shoaib Malik gave Taylor his third slip catch from the bowling of Lockie Ferguson, leaving Pakistan 5-15.
Williamson never looked particularly fluent but reached 73 off 101 deliveries while Taylor made 52 off 64 deliveries.
Once Taylor was gone, New Zealand began to collapse as Hasan Ali sliced through the lower order.
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Guptil was so impressed with the catch that he applauded the spectator while out in the middle with Colin Munro.
Fortunately, Pakistan avoided that humiliation as they stumbled on to a measly score of 74 but their capitulation and 183-run defeat see them 3-0 down in a forgettable series for the visitors.
Ali, the world's top-ranked ODI bowler, also dismissed Trent Boult (13) with the last ball of the innings to finish with 3-59 while Raees, whose victims included Williamson and Latham, took 3-51.
During the post-match discussion, Sarfraz told, "A tough loss, batting was again flop. The focus is the next game".
During New Zealand's innings, Martin Guptill flicked a ball of his pads which went flying into the stands with Dougherty proceeding to catch a one-handed screamer and in turn scoop himself $50,000.