For withdrawal of cryptocurrencies out of Quidax, network fees are usually paid to the miners to ensure the transfers are validated by the blockchain.
To ensure that withdrawals are fast on Quidax, we set our fees slightly higher than the average fee for each blockchain node we maintain. As we do not look to profit from withdrawal fees, our withdrawal fees charged to you are therefore about the maximum withdrawal fees we set for the network fees.
You can find more information about withdrawal fees on Quidax here.