Paying Tax and NHI during year off

Hello,

I will be leaving my elementary school job after the semster. After 5 years at the school, I now want to do some traveling around Asia whilst also doing some private tutoring here in Taipei.

People who have done something similar, how did you work around paying NHI and taxes on your tutoring jobs? Or is that something that you kept from the taxman?

Grateful for any feedback