In the word 'process', the first syllable
'pro-' receives the stress. Pronunciation varies between British (/'prau.ses/) and American ( /'prazses/) English.
In the word 'process' (as referred to in the phrase 'delicate process' from your reference context about brain surgery), the syllable that receives stress is the first syllable, 'pro-'. English, like many other languages, has stressed and unstressed syllables, and finding the stress in words is an important part of pronunciation. Thus, it would be pronounced /'prav.ses/ (British English) or /'pro.ses/ (American English).
