Transfer of deceased shares, Someone with experience/idea should help out

Hello, good day all , I want to ask about how do I claim/ request a transfer of deceased company shares ,as a next of kin. What are the processes? Anyone that experienced this before, or a legal practitioner should help please, thank you. NB:- the shares was acquired in the year 2003 ;- I have never received any payment from the company , although I retrieved a cheque of payment of dividend from the company, through my late father's P.O Box ;- my Father was late about 8yrs ago