Woocommerce plugin for WordPress, is the easiest way to start selling your products online. It handles many different payment options, gateways, tax calculations, shipments and even stock tracking. All you need is installing the plugin and start adding your products.
While plugin has many great features, for a shop with only downloadable products, you won’t need some of those functionalities like billing and shipment details.
To remove billing and shipping fields from your checkout form, you can use the following snippet:
If you need further mods, may you can take a look at the woocommerce extensions.