For this kind of form I use gravity forms, which is a non-free GPL plugin, however there are many free forms plugins listed in the WordPress themes directory. The documentation of each should list whether multi-step forms are part of the feature set.
If you already have a favourite forms plugin, there may be an add-on by the original author or a third-party to add multi-part form functionality, so searching the plugins directory with relevant keywords may help you find something suitable. As an example, I found a multi-part form add-on for the popular ‘contact form 7’ forms plugin: https://wordpress.org/plugins/contact-form-7-multi-step-module/
