Here's what I was taught by my teacher with regards to solo piano when I was first starting off with him. It is a method to play solo piano with the chord spread out between both hands and the melody as the top note of the chord. It's definitely not the only approach to this, but it is a systematic approach that really helped me.
Let's say you're playing Cmaj7 and the melody note in the song is G (just above middle C). You have one of two paths to choose, but the melody note must be the top-most note. Since your melody note is the 5th of the chord, you would choose the path on the left since the 9th is the next closest. You would follow that path all the way down until you have the root.
So, this is what we get when we choose the left path. If the 3rd/7th go below low C or D, move them up an octave. The same can be said for the 9th/13th, if it's too close to the melody and detracts from it or makes it sound too crunchy, drop the offending note by an octave.
Like in the image below.
Distribute the notes between the two hands and you're good to go. Now, all of those other options beside the intervals that are boxed are other choices depending on the chord. If the chord was C7 instead of Cmaj7, then we wouldn't choose 7, we would choose b7.
Let's take a longer example from the standard "All The Things You Are":
I'm sure there are many ways to do this. Hopefully this will get you started.