What does the w/continuation block do?

here are the blocks:

my question is what do they do, and what are they useful for?

also, what is a w/continuation?

I'll go see if I can find the topic where I learned what continuations were.

Edit: Two topics. The first is where I learned what they were:

Short for "with continuation".

Yes. But I think she was asking what a continuation was. That can be found in the first of my quotes.

She now says she's in Mars?