I'm a little late with this. My wife and I both have MU-P8s we use different suitcases. For hers I have to take off the kickstand for mine I have to remove the rear derailleur.
remove seat post, detach handle bar and stem from the folding part of the stem, remove both wheels, remove pedals, fold bike so front fork fold into the rear dropouts.
I use pipe insulation on the seat post and stem, plastic shower cap on rear cog, plastic bag on chain ring and chain, I tie the chain together with wire ties so it doesn't twist around. My wife packs hers a little more carefully:-)
It take about twenty minutes to reassemble. Practice make perfect!
Nice to have your own bike when travelling.