Those who travel by night take rest in the morning

Qasim bin Raashid (Rahmatullah alaihe) says that Sheikh Zam'ah
(Rahmatullah alaihe) was staying with his wife and daughters, in their
neighbourhood at Muhassab (a place near Makkah Mukarramah). They saw
that the Sheikhwas accustomed to standin Salaat for long hours of the
night. He used to awake his wife and children for Tahajjud in the
latter part of the night, saying, "Wake up, O travellers! Let us
proceed. Will you lie sleeping the whole nightthrough?" At his call,
all of them would wake up and engage in different activities. One of
them would perform Wudhu and offer Nafl Salaat, another would sit in a
corner and weep from fear of Allah, still another would sit and recite
from the Holy Quraan. They continued in this state till dawn, when the
Sheikh called them and said, "Rest a while, for those who travel by
night take rest in the morning."
How do we spend our night?