Each: When we consider several persons or things individually we use each. Each is a determiner. We use it before a singular noun.
We stayed in Cox’s Bazar for 3 days and we enjoyed ourselves each moment (not each moments)
Each is also followed by a singular verb.
Each day was different.
Each of: Before a plural pronoun or before a determiner with a plural noun. And the following verb is singular.
Each of the students is waiting eagerly for a sports competition.
Each of them wants to take part in different games.
Each + Pronouns or Possessives
We use each with plural pronouns and possessives.
Each person should join the gym to stay healthy.
Each student should obey their teachers.
Position with Object
She hugged them each tightly on their departure.
He wants us each to attend the meeting.
Important point to notice
Each of us\you\them is singular
Each of us has a car
But we\you\they each is plural
We each have a car.