I would like to address two misconceptions in your question:
But it should be either V/R as at steady state the resistance of
inductor is zero .
The ideal inductor always has zero resistance so I assume you meant zero reactance but that's only true for DC steady state. In AC steady state, the inductor has non-zero reactance.
at resonance capaciitive reactance and inductive reactance is equal so
half the current will flow through inductor .
First, this isn't true; the reactance of the capacitor at the resonance frequency is equal to the negative of the reactance of the inductor.
Second, on resonance, the capacitor and inductor have the same (AC) current which circulates around the loop formed by the capacitor and inductor; charge flows back and forth through the inductor and capacitor but not through the resistor.
The energy stored in the LC circuit 'sloshes' back and forth between all electrostatic energy (zero current, maximum voltage) and all magnetic energy (maximum current, zero voltage).
The mechanical analogy is a damped mass-spring system driven on resonance. There, the energy stored in the mass-spring system 'sloshes' back and forth between all potential energy (zero velocity, maximum displacement) and all kinetic energy (maximum velocity, zero displacement).