Ravindra Jadeja, who scored his maiden global century during India´s only innings, took the final wicket of Shannon Gabriel for four as the hosts celebrated an utterly dominant win over the former cricketing powerhouse.
Their newest opener Prithvi Shaw smacked century on debut, Cheteshwar Pujara was among runs.
Veteran Indian cricketer Harbhajan Singh made a cheeky comment on the West Indies cricket team, now on the tour to India for two Tests, five ODIs and three T20 internationals.
Kuldeep claimed his maiden five-for in Test cricket in his fourth Test, bouncing back after being battered on the third day morning by the West Indian novice in Keemo Paul.
They have won Tests by 10 wickets seven times, while India's greatest winning margin by runs was against South Africa in Delhi in 2015, when they won by 337 runs.
India's first-ever win came against England in 1952, when they beat England by an innings and 8 runs in Chennai to level the five-match series. But Kohli had enough and waved his team in, declaring on 649/9.
"Jaddu (Jadeja) as well - he has got important runs for us before and we wanted him to get three figures". With wickets tumbling rather alarmingly, Ambris chose to take Ashwin and slammed him for two fours - one over extra cover and the other over deep midwicket.
Jadeja got a single off West Indies stand-in skipper Kraigg Brathwaite to get his hundred and celebrated with his customary sword dance with his bat.
In reply to that, West Indies got their strategy completely wrong and failed to hit themselves out of trouble after going two wickets down early on. However, the No.3 batsman played one match less than Kohli.
Trailing by 191, England needed a good start but they lost both their openers for as little as 15 and could never recover from that.
Kohli called his side in a ball after Jadeja completed his maiden Test ton against a Windies attack missing Kemar Roach due to a family bereavement and captain Jason Holder through an ankle injury.
"The guys really struggled in this game because of those few changes", Kohli said. He soon reached his 24th Test ton - second-quickest to the landmark behind Sir Don Bradman - helping a Devendra Bishoo half-tracker down to fine leg. Pant, however, missed out on a well-deserved century falling short by just eight runs deceived by a Bishoo wrong'un for 92.
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