This is the 8634th most frequent Japanese word.
散らばっ
"散らばっ" means "scattered" or "spread out."
In this sentence, "散らばっています" describes the scattered state of objects (papers) on a surface (the floor).
紙が床に散らばっています。
The papers are scattered on the floor.
Here, "散らばって" is used to indicate people being dispersed in a location (the garden) and engaging in activities.
子供たちは庭に散らばって遊んでいました。
The children were scattered around the garden playing.
In this usage, "散らばっています" metaphorically describes points of light (stars) appearing dispersed in the expanse of the sky.