WooCommerce is one of the most powerful e-commerce plugin for WordPress.And what i love with WooCommerce is that there’s an API for nearly everything.There are almost Hooks and filters For Every Customization work. To remove the woocommerce breadcrumbs we have to remove the hook which is used to add woocommerce breadcrumbs. It's added by 'woocommerce_breadcrumb',which is hooked in 'woocommerce_before_main_content' hook.  

/**
* Hook: woocommerce_before_main_content.
*
* @hooked woocommerce_output_content_wrapper - 10
* @hooked woocommerce_breadcrumb - 20
* @hooked WC_Structured_Data::generate_website_data() - 30
*/
do_action( 'woocommerce_before_main_content' );

  Here, we can see woocommerce_breadcrumb is hooked with priority of 20 inside the plugin template file. And now, we need to set the same one in order to remove that area.  

// Remove breadcrumb
remove_action( 'woocommerce_before_main_content', 'woocommerce_breadcrumb', 20 );

  Enjoy