Resuming at the overnight score of 71 for one, the visitors lost four wickets in quick succession with an addition of only 16 runs and were eventually bowled out for 224 in 64.3 overs.
Chasing a paltry victory target of 128, Australians lost as many as six wickets but were always in control as they knocked off the required runs with more than a day to spare in what turned out to be a miserable fourth day for the Indians at the Gabba.
Dhawan, apparently suffered an injury to his right wrist during the morning practice session which led to Virat Kohli (1) coming out with Cheteshwar Pujara (43).
Kohli's early departure virtually triggered off the collapse as Mitchell Johnson ripped through the top-order and finished with figures of four for 61 while Josh Hazlewood (2/74), Mitchell Starc (2/27) and Nathan Lyon (2/33) also chipped in.
Had it not been for 60-run eighth wicket partnership between Dhawan and Umesh Yadav (30), India wouldn't have been able to set a three-figure target.
Mitchell Marsh's cover drive brought about the victory triggering off scenes of celebrations in the Australian camp as the players hugged each other.
The defeat also brought to the fore India's dismal record outside the sub-continent with their 15th defeat in the last three and half years.
Mahendra Singh Dhoni's poor track record as Test captain in overseas conditions continued as he lost his 14th Test match outside the sub-continent. Dhoni has now lost seven Tests in England, four in Australia, one in New Zealand, one in South Africa since 2011.
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