The Divi Theme doesn't come with support for breadcrumbs, but there are now several options for easily adding breadcrumbs to Divi and the Divi Builder.
Divi Breadcrumbs Module by Divi Booster
I'll start with my own offering. My Divi Breadcrumbs Module comes packaged as a standard WordPress plugin which, when installed, adds a new module into the Divi Builder. This module automatically generates a list of breadcrumb links for the current page / post and offers options for styling the breadcrumb links, separator icons and background. All breadcrumbs generated are optimized for SEO.
Update: the plugin now includes an option to enable breadcrumbs site-wide, below the Divi / Extra header.
The Divi Breadcrumbs Module is currently available for a one-off price of $9 which includes free updates for life and unlimited installs.
Divi Breadcrumbs Module by Codecrater
At the time of writing it is selling for $15.
Fullwidth Breadcrumbs Module by Optimus Divi
Note that this plugin is still for sale, but no longer under development.
Different again from the previous options is this module from Optimus Divi. While all the previous modules perform automatic generation of breadcrumb links, Optimus Divi have opted for a manual approach. The links are manually added via the module options and are displayed in full-width on the page.
The Fullwidth Breadcrumbs module from Optimus Divi costs $5.
Breadcrumbs Plugin by Aspen Grove Studios
Aspen Grove Studios' offering has a range of pricing options, starting from $10 for a one year license on a single site, up to $89 for a lifetime license.
Breadcrumbs Divi Module by LearnHowWP
Breadcrumbs Divi Module is a free option available on the WP plugin directory. Though free, it offers many of the same features as the premium breadcrumbs plugins in this list, such as separator icons and link styles.