But for all their dominance at home, Australia showed they remain a fragile side overseas who could be easily exposed by quality spinners. In the fourth inning, Australia were crushing away, thanks to David Warner century.
The match unravelled for Australia in a disastrous hour before lunch when they lost five wickets after reaching a competitive 3-166. The Australian team scored 217 runs in reply. Umpire Aleem Dar turned down a muted appeal from the bowler before skipper Steve Smith decided on a review. "Things happen so quickly when the ball is spinning and turning and as you saw tonight a few of them really jumped, so we're confident that if we get on a bit of a roll tomorrow we can knock them over".
There was always that niggling fear that this Australia's tour of Bangladesh was never going to be an easy one despite the obvious disparity in the rankings between the two sides. It's a hard place to play.
David Warner batted confidently as he neared a century and erased the deficit in quick time.
Agar's performance has been the highlight so far for the underperforming Australians, leading the way with the ball courtesy of four wickets and producing a vital, unbeaten knock coming in at No.9.
Their preparation for this trip has involved a training camp in Darwin, but their scheduled two-day warm-up game in Bangladesh was washed out and they had no match practice ahead of the first Test. That's the belief we have.
"I thought it is a huge message". There is a lot of room to improve. Very good test match. They did miss some (catches) but it can happen.
Mushfiqur said the first innings partnership of 155 between Man-of-the-Match Shakib Al Hasan and opener Tamim Iqbal had been crucial to the victory with the former also taking 5-85 with his spin-bowling to help wrap up the win on Wednesday.
The Australians needed 265 runs to win the game and were cruising at one point with the scoreline reading 158 for 1!
Peter Handscomb, Matthew Wade and Ashton Agar were dismissed before lunch and Glenn Maxwell (14) went from the first ball after the interval, Shakib bowling the unsafe right-hander when he went back attempting a cut.
She stood on her feet to wave the national flag as soon as Taijul Islam trapped Josh Hazlewood leg before wicket to end the match.