Abdur Rehman took four wickets while Saeed Ajmal and Aizaz Cheema chimed in with two each.
Chittagong: Pakistan spinner Abdur Rehman took four wickets while Saeed Ajmal and Aizaz Cheema chimed in with two each as the visitors efficiently and predictably completed victory over Bangladesh by an innings and 184 runs in the first Test.
Needing 459 runs just to make Pakistan bat again, Bangladesh could only reach 275-9, with Rubel Hossain absent through injury, giving Pakistan victory on Monday with more than four sessions to spare.
Mohammed Nazimuddin topscored for Bangladesh with 78 while Shakib Al Hasan made 51 and Mushfiqur Rahim 49, but the hosts were never able to put together the big partnership required to stave off Pakistan.
Opener Nazimuddin and Shakib both fell to Rehman in the morning session, and Mahmudullah also went before lunch, bowled by Ajmal for a duck, exposing the tail and effectively ending Bangladesh's slim hopes of turning the game into a contest.
After the first break, Rahim was trapped lbw by Rehman on 49. Cheema took the final wicket of Shahadat Hossain caught by Umar Gul on 21.
Pakistan declared their first innings on 594-5 in response to Bangladesh's first-innings total of 135.
With the latest victory, Pakistan are sitting on an unbeaten streak stretching back to the one-day series against Sri Lanka in the United Arab Emirates last month. They swept the one-day series against Bangladesh 3-0 and came out on top in the one-off Twenty20 match.
The second and final Test begins in Mirpur on Saturday.
Bangladesh have won just three of their 71 Test matches since gaining Test status in 2000.