IPA: /kəʊˌɪn.sɪˈdɛn.tə.li/
KK: /kəʊˌɪn.sɪˈdɛn.təl.i/
In a way that happens by chance or without planning, often unexpectedly.
Coincidentally, I ran into my old friend at the coffee shop yesterday.
Coincidentally → It is formed from "co-" (meaning together) and "incidere" (meaning to fall upon or happen). The word describes events that happen together by chance, without intention.
Think of things happening 'together' ('co-') by 'chance' ('incidere') — that's what coincidentally means.