In SI units,
1 N force = 1 (kg-m)/s²
Speed has units of m/s.
If 1 N is divided y 1 m/s, the resultant units will be
(1 (kg-m)/s²)/(1 m/s)
= 1 kg/s
Answer: the units will be kg/s
Note:
The above units are correct but they do not provide the measure of a physical object.
Nevertheless, it is necessary to keep track of units, because they eventually reveal the units of a physical object when a computational procedure is completed.