What I would do is comment out the Dockerfile below and including the offending line. Then you can run the container and run the docker commands by hand, and look at the logs in the usual way. E.g. if the Dockerfile is
RUN foo
RUN bar
RUN baz
and it's dying at bar I would do
RUN foo
# RUN bar
# RUN baz
Then
$ docker build -t foo .
$ docker run -it foo bash
container# bar
...grep logs...