1. We worked continuously through the night and managed
to finish the project as the sun was rising.
2. I don't know what to do with the new drinks machine. it's
continually breaking down.
3. When I write emails in Spanish, I continually make the
same mistakes with the past form of some verb tenses.
4. Last time we visited my family for Christmas in the UK it
snowed continuously for three days.

Continually = continuamente (For a certain duration, on and
off but with interruptions - starting and stopping)
Continuously = continuamente (For a certain duration, without
interruption)