In mathematica we generally obtain direct result instead of step by step analytical calculation. Can we somehow obtain these steps?.

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    $\begingroup$ Does Trace / TracePrint do what you want? $\endgroup$ – Verbeia Mar 10 '16 at 5:27

In general, no; however, WolfamAlpha -- or calling WolframAlpha with Mathematica -- can sometimes provide step-by-step solutions.

WolframAlpha["Solve[a x^2 + b x + c == 0, x]", {{"Result", 4}, "Content"}, 
 PodStates -> {"Result__Step-by-step solution"}]

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