You have to register an adoption deed in the registrar office of your area, if the biological parents are consenting. Some places the registrar will not agree without a court order. If the registrar makes objection you will have to get a decree from the court and the based on that court decree/order a deed of adoption has to be registered in the sub-registrar office. So first find out from the office if they need a court order as the biological father is agreeable and the custody of the daughter is with the biological mother.
If there is a divorce order, you should attach the same.
Biological father's presence is not needed only NOC from the biological father's is enough.
Since this is your step daughter, NOC from father alone is required. The biological mother can give you the child in adoption and she is the one party signing and you the other party, adoptive father.