In the case of check conversion by a retailer: While at a particular retailer you write a check for the amount of your purchase. The retailer scans the check to endorse it, marks the original check paid, and returns the check to you. This information is then used to create the electronic withdrawal which is processed through the ACH network.
The billing company must notify you that it is using the check conversion process, usually with a note on or in your monthly billing statement. When you mail in your payment, you have authorized that your check payment may be converted to an electronic withdrawal. If you do not want your check payment converted, you should contact the billing company directly.