Is the word divertimos the same in Brazilian and European Portuguese?

No.

While the spelling and core meaning of the word are identical in both dialects, there are significant differences in grammatical usage and pronunciation.

1. Grammar (Clitic Placement): In the context of "having fun" (reflexive use), the placement of the pronoun nos differs. In Brazilian Portuguese, it is standard to use proclisis, placing the pronoun before the verb (nós nos divertimos). In Continental Portuguese, enclisis is the norm, attaching the pronoun to the end of the verb (nós divertimo-nos). 2.Pronunciation: Brazilian Portuguese tends to have more open, melodic vowels. Continental Portuguese features significant vowel reduction, where unstressed vowels (like the 'e' or 'o' in a sentence) are often swallowed or pronounced as very short, nearly silent sounds.
2. Typical Usage: While both use "muito" (a lot), a Portuguese person is much more likely to use "imenso" or "bastante" to express intensity. Additionally, where a Brazilian uses the gerund (jogando), a Portuguese person uses the prepositional construction (a jogar).

Brazilian Portuguese Examples

• Nós nos divertimos muito na festa de ontem. (We had a lot of fun at yesterday's party.)
• Nós nos divertimos bastante na praia. (We had a great time at the beach.)
• Nós nos divertimos muito com o presente. (We had a lot of fun with the gift.)
• Nós nos divertimos sempre que viajamos. (We always have fun whenever we travel.)
• Nós nos divertimos muito jogando videogame. (We had a lot of fun playing video games.)

Continental Portuguese Examples

• Nós divertimo-nos muito na festa de ontem. (We had a lot of fun at yesterday's party.)
• Nós divertimo-nos imenso na praia. (We had a great time at the beach.)
• Nós divertimo-nos bastante com o presente. (We had a good time with the gift.)
• Nós divertimo-nos sempre que viajamos. (We always have fun whenever we travel.)
• Nós divertimo-nos muito a jogar videojogos. (We had a lot of fun playing video games.)