It is your responsibility to acknowledge and apply the correct VAT treatment to all of your sale / purchase transactions, including keeping track of any distance selling VAT obligations that may arise in other jurisdictions.
It is your responsibility to track distance selling obligations and selling thresholds to ensure you fulfil any VAT obligations in other EU member states.
If you have transactions that are outside the scope of UK VAT, go to the UK VAT rate Guide and select the relevant 0% VAT rate to ensure that they are not reported on your UK VAT return.