There is at least one very simple solution : use the Cloud and its free native collaborative tools (shared documents / chat / video conferencing).
I've tried with Google most simple tools : it works fine and it's easy.
Those templates won't calculate by themselves ... :-) ... The aim is to practice calculations by ancient methods (more or less imaginary ?) not to have them done by a strange virtual abacus
You'll find those templates, and maybe others, in the template gallery :
https://drive.google.com/templates?q=yupana [this no longer exists... the template gallery is a feature that google removed in 2016; instead, you'll be redirected to my shared drive]
To see various ways of using a Yupana, take a look at the playlist : A10 - Yupana - big multiplications made simple - with one yupana - without knowledge of multiplication tables
Or search youtube for "yupana multiplications" and select Yupana 3, Yupana 2, Yupana 1 or Yupana Chirinos. (Yupana 4 shows a division and uses another template).
You'll also find lots of videos showing simpler ways to use a Yupana (for additions made by young children).