It is a bit of effort, but you can make the computer do the verification for you by writing (or generating) a simple text file. Using Perl shasum because I'm on a mac at the moment, but Linux sha256sum works the same:
$ echo hi > some_file
$ shasum -a 256 some_file > check
$ cat check
98ea6e4f216f2fb4b69fff9b3a44842c38686ca685f3f55dc48c5d3fb1107be4 some_file
$ shasum -a 256 -c check
some_file: OK
$ echo $?
0
$ echo bye > some_file
$ shasum -a 256 -c check
some_file: FAILED
shasum: WARNING: 1 computed checksum did NOT match
$ echo $?
1
Edit: Oh cool, at least perl's shasum allows reading from stdin so you can even skip the file if you're just copying some check file off the software's website:
$ shasum -a 256 -c - <<EOF
> 98ea6e4f216f2fb4b69fff9b3a44842c38686ca685f3f55dc48c5d3fb1107be4 some_file
> EOF
some_file: OK