DHAKA (AFP) - Leg-spinner Devendra Bishoo grabbed 5-90 as the West Indies trounced Bangladesh by 229 runs in the second Test in Dhaka on Wednesday to win their first away series in eight years. Bangladesh, who were set an improbable victory target of 508 runs, were shot out for 278 soon after lunch on the fifth day at the Sher-e-Bangla stadium. Bishoo, the Guyanese bowler who turns 26 on Sunday, returned with career-best figures in only his seventh Test and skipper Darren Sammy chipped in with 2-19 to rout the hosts. The emphatic win after the drawn first match in Chittagong will provide a massive morale-booster for Sammy's men, who begin a three-Test series in India on Sunday. It was the first series win away from home for the West Indies since November 2003, when they beat Zimbabwe 1-0. Their last Test win abroad was against South Africa in Port Elizabeth in December, 2007. "This feels very good," said Sammy. "We knew it was going to be difficult, but this was just reward due to the efforts from the guys and the coaching staff. "It was good to see the way we came together. The coach (Ottis Gibson) focuses on constant improvements, and we showed that in this series. It was a complete team effort." Sammy's team won despite the absence of star batsman Chris Gayle, who has not played international cricket since the World Cup earlier this year due to differences with the West Indies Cricket Board. Bangladesh, resuming at the overnight score of 164-3, lost the crucial wickets of opener Tamim Iqbal, skipper Mushfiqur Rahim and Shakib Al Hasan in the morning session. Tamim, Bangladesh's main batting hope who was unbeaten on 82, added just one more run when he was caught in the slips off Bishoo in the day's third over. The left-hander's 83 contained eight boundaries and a six. Shakib and Rahim raised visions of a Bangladesh fightback when they put on 88 runs for the fifth wicket, before both batsmen fell in the space of four runs. Shakib made 55 when he tried to steer Sammy to third man, but only managed to sky a catch to Shivnarine Chanderpaul running back from the slip region. Rahim took his overnight score of 33 to 69 when he was bowled by a superb delivery from Bishoo that spun sharply from leg to clip the off-stump. Bishoo struck twice in the first over after lunch, trapping Nasir Hossain leg-before and having Suhrawadi Shuvo caught by Sammy.Fast bowler Kemar Roach sealed the win by bowling last man Rubel Hossain. Rahim said the loss of three wickets in the first session cost Bangladesh dearly. "We needed to play the first session without losing wickets, but that didn't happen," the Bangladesh captain said. SCOREBOARD West Indies 1st innings: 355 Bangladesh 1st innings: 231 West Indies 2nd innings: 383-5 decl Bangladesh 2nd inning (O/N164-3): Tamim c Sammy b Bishoo 83 I Kayes c Edwards b F. Edwards 9 S Nafees c and b Sammy 18 Raqibul c Sammy b Samuels 17 Mushfiqur b Bishoo 69 Shakib c Chanderpaul b Sammy 55 Naeem lbw b Bishoo 3 Nasir lbw b Bishoo 3 S Shuvo c Sammy b Bishoo 0 Shahadat Hossain not out 1 Rubel Hossain b Roach 7 Extras: (b6, lb1, nb6) 13 Total: (all out, 80.2 overs) 278 FOW: 1-26, 2-73, 3-124, 4-168, 5-256, 6-260, 7-264, 8-264, 9-271, 10-278 Bowling: F Edwards 14-0-56-1 (nb3), Roach 13.2-2-49-1 (nb3), Sammy 13-4-19-2, Bishoo 25-6-90-5, Samuels 15-2-57-1.