Indeed doing a bit of quantization in Cubase hepls a lot for this purpose.
I would like to point to a very particular and usefull function of Cubase Score which helps even more.
With the Display Quantize values Cubase Score let you display the notes exactly the way you want.
Cubase Score has a very usefull additional function called “Scores Notes To Midi” (to find in the Functions submenu on the Scores Menu).
This function converts the notes to the exact MIDI value needed and the notes have the exact lengths and positions that are displayed.
Make a copy of the track or of the song you want to export.
This is necessary as the midi events will be changed.
Open a track in the Cubase Score Editor and choose the apropriate Display Quantize value that will display the notes the way you want.
If a specific Display Quantize Value does not work for a whole track, make several parts and apply a different Display Quantize Value for each part of the track.
When the notes are displayed the way you want, select them all, then select “Scores Notes To MIDI” from the Functions submenu on the Scores menu. The notes are now “converted” and will have the exact Midi value needed and now the notes have the exact lengths and positions that were previously only displayed.
After finishing all the tracks of your piece export the whole piece as MIDI file.
Import the MIDI file in the notation program of your choice.
I think the most important thing is not to expect that you can transform all the notes in Cubase Score at once and that you may have to change the Display Quantize value for each track or even for several parts within a track.
But Cubase Score allows you to do this very fast!
If you are able to display the notes in Cubase Score exactly the way you want (and Cubase Score is flexible enough to allow this) then this function will convert the notes to the exact MIDI values needed to be displaed the same way in any notation program.
It has alway be a joy for me to use this function ant this way I exported complete orchestral scores and had to do very few corrections.
The only things I do not export are Drums tracks as I find it much easier and faster to write the drum tracks in the notation program than to adapt a Cubase drums midi track.