Can i set-up a new book for a new subsidiary in another country?

Yes, Helen26. You can set up a new book or account. 

In QuickBooks Online, one account or company equals one subscription. You can visit our website, select the country, then purchase. 

Then, you can start setting up a new account.

If you have more questions, don't hesitate to click the Reply button below. We'll get back to you as soon as we can.

@helen26 

Make sure you are opening the QBO country version correctly.

https://quickbooks.grsm.io/Asia-Pacific