Develop a two-step user sign up form. It must be at least two steps and exist on the same page. There must be a navigation option to proceed to the next step and return to the previous step. jQuery can be used. Form should be styled and responsive.

First and last name, email, phone number, Username, password, confirm password, at needs to include at least one select list, radio set and checkbox.

Have the form data save to local storage.
Saved data is reloaded into the form on refresh. Validation of fields.