When the Romans first came to live in Britain?

The first recorded incident of the Romans going to Britain was in 55 BC. with Julius Caesar's first invasion. The emperor Claudius annexed it as a province in 43 AD. Now there was a strong Roman presence in Britain during those intervening 98 years. When Claudius arrived, the Romans had already made treaties and conquered certain tribes. Trade was also carried on. However the date when the first Roman traders, settlers, and troops came to Britain to stay is unclear.