How do you make a div "tabbable"?

Add the tabindex="0"attribute to each div you want tabbable. Then use CSS pseudo classes :hover and :focus, for example to signify to the app user that the div is in focus and clickable, for example. Use JavaScript to handle the click.

var doc = document;
var providers = doc.getElementsByClassName("provider");

for (var i = 0; i < providers.length; i++) {
    providers[i].onclick = function() {
      console.log(this.innerHTML);
    };
}

.provider {
    flex: 0 1 auto;
    align-self: auto;
    width: 256px;
    height: 48px;
    margin-top: 12px;
    margin-right: 12px;
    text-align: center;
    line-height: 48px;
    
    text-transform: uppercase;
    background-size: contain;
    background-repeat: no-repeat;
    background-position: 10%;
    background-color: gray;
}

.provider:hover{
  cursor: pointer;
}

.provider:focus{
    -webkit-box-shadow: 0px 2px 8px 2px rgba(0,0,0,0.4);
    -moz-box-shadow: 0px 2px 8px 2px rgba(0,0,0,0.4);
    box-shadow: 0px 2px 8px 2px rgba(0,0,0,0.4);
}

<h4>Click in this area first then press tab</h4>
<div id="email" class="provider" tabindex="0">email</div>
<div id="facebook" class="provider" tabindex="0">facebook</div>
<div id="github" class="provider" tabindex="0">github</div>
<div id="google" class="provider" tabindex="0">google</div>
<div id="twitter" class="provider" tabindex="0">twitter</div>

for those interested, in addition to the accepted answer, you can add the following jquery to make the div style change when you tab to it, and also handle Enter and Space to trigger a click (then your click handler will do the rest)

$(document).on('focus', '.button',function(){
    $(this).css('border','1px dotted black')
});
$(document).on('keyup', '.button',function(e){
    if(e.which==13 || e.which==32)
        $(this).click()
});

I'm sure someone has made this into a jq plugin $().makeTabStop

Add tabindex attributes to your div elements.

Example:

<div tabindex="1">First</div>
<div tabindex="2">Second</div>

Per steveax's comment, if you don't want the tab order to deviate from where the element is in the page, set the tabindex to 0:

<div tabindex="0">First</div>
<div tabindex="0">Second</div>

Make elements tabbable and clickable with key press using jquery

Assumptions

• All elements that are of a non-tabbable, non-clickable type and should be clickable have an onclick attribute (this could be changed to a class or other attribute)
• All elements are of the same type; I will use divs.
• You're using jquery

Sample html:

...

<div onclick="clicked(this)">Button 1</div>
<div onclick="clicked(this)">Button 2</div>
<div onclick="clicked(this)">Button 3</div>

...

Jquery code: This is the code that will run when the page has loaded. It needs to run on your HTML page.

$(()=>{
    // make divs with an onclick attribute tabbable/clickable
    $('div[onclick]')
        .attr('tabindex', '0')                     // Add tab indexes
        .keypress((evt)=>{
            var key = evt.key;
            evt.preventDefault();                  // Ensure all default keypress
                                                   // actions are not used
            if (key === ' ' || key === 'Enter') {  // Only send click events for Space
                                                   // or Enter keys
                evt.currentTarget.click();         // Run the click event for element
            }
        });
});

You can find a working example here.