You log into your Mals-e account and click on Payments. Put in your payments password (which you should have received with your login info). Select the order number and click download. There you will see the customer's credit card info.
Log onto your merchant account and put in the info you see at Mals and from your orders section in your admin area for that particular customer.
*Be sure to delete the order from Mals (List Orders) when you're done so you know you processed that order already. You will still have a copy of the order in your admin area.