jquery check if element exists

$(document).ready(function() {
    var $myDiv = $('#DivID');

    if ( $myDiv.length){
        //you can now reuse  $myDiv here, without having to select it again.
    }


});

if ($(selector).length)

$(function() {
    var $button = $(".the_button");
    alert (isStale($button));
    $button.remove();
    alert (isStale($button));
});
    
function isStale($elem)
{
    return $elem.closest("body").length > 0;
};