Monads and delimited control are very closely related, so it isn’t too hard to understand them in terms of one another. From a monadic point of view, the big idea is that if you have the computation m >>= f, then f is m’s continuation. It’s the function that is called with m’s result to continue execution after m returns.
If you have a long chain of binds, the continuation is just the composition of all of them. So, for example, if you have
m >>= f >>= g >>= hthen the continuation of m is f >=> g >=> h. Likewise, the continuation of m >>= f is g >=> h.