Welcome to HealthcareMagic forum.
Your child is most probably suffering from Exfoliative keratolysis or a dermatitis
( atopic or irritant).
Hence it has somewhat responded to steroids.
However it's best to get a confirmed diagnosis from a dermatologist
and start treatment accordingly.
lotions and steroid based ointments are the mainstay of treatment.Your doctor might also want to rule out a vitamin deficiency
and start daily supplements for the same
Wishing you good health.