Every time a user purchases with an initial deposit, the system registers the main order with the amount of the paid deposit. Balance order will be generated or not based on what was previously set in Balance options.
You can easily spot the orders with deposits in WooCommerce > Orders.
By accessing the edit order page, you will see a metabox with the created balance order(s).

You can now check every balance order detail by clicking on the related order number. The balance order will be linked to the product for which the deposit has been paid.