We read that 'as often as you partake... '
We are under liberty.
Therefore it is a matter of conscience as to how often a church service celebrates holy communion.
My church remembers our Lord's death and resurrection once a week, but I have as a visitor been to other churches where they do this once a month.
We use cracker biscuit and grape juice but others enjoy wafer bread and red wine.
Personally I believe it is better to remember the sacrifice and work of our Lord and God Jesus who died for us sinners more often than not.
Reading 1Corinthians 11 gives a pretty strong indication that "doing" the Lord's supper was weekly
1Cor 11:18 For first,
when ye come together in church, I hear divisions exist among you; and I partly believe it.
1Co 11:20
When therefore ye come together in meeting, it is not possible to eat
the Lord’s supper:
21 for in eating each taketh his own supper before; and one is hungry, and another is drunken.
1Cor 11:24 and when he gave thanks he brake it, and said, This is my body, which is for you:
this do in remembrance of me.
25 In like manner also the cup, after supper, saying, This cup is the new covenant in my blood:
this do, as oft as ye drink it,
in remembrance of me.
26 For
as oft as ye eat this bread, and drink the cup,
ye proclaim the death of the Lord till he come.
1Cor 11:33 So then, my brethren,
when ye come together to eat, wait one for another.
34 If any is hungry, let him eat at home; that ye come not together unto judgment. And the rest will I set in order whenever I come.
and this is also corroborated in Acts 20:7
And upon the first day of the week,
when we were gathered to break bread, Paul discoursed with them, intending to depart on the morrow; and prolonged his speech until midnight.