UK work in Oz
 

My partner and I have submitted the partner visa app and until that one gets an outcome I will be travelling to Oz with the eVisitor visa (and popping out every 3 months...)

Now my question is work related. I do a small amount o web support workfor a friend of mine, 20hrs a week. I am self employed in UK. Can I continue doing that whilst in OZ? I will be paid in a UK bank account and declaring the income in UK. It's web based work, surely I can do it anywhere? Or am I wrong?
Thanks for any advice!