Can't destroy() jQuery Data Table

I am having an issue with trying to destroy a JQuery Data Table.

Here is where I initialize it:

$(document).ready(function() {
    var table = $(".dynamic-wide-table").DataTable({
        "aaSorting": [],
        "scrollX": true,
        "scrollY": 530,
        "scrollCollapse": true,
        "lengthMenu": [
            [100, 400, 1000, 5000, -1],
            [100, 400, 1000, 5000, "All"]
        ],
        "retrieve": true
    });
});

Here is where I try to destroy it:

$(document).ready(function() {  // Note that my page has two tables on it!
    table.destroy();
    table[0].destroy();
});        // Trying to delete both tables first, then just the first table

Here are my errors:

Uncaught TypeError: table.destroy is not a function
Uncaught TypeError: table[0].destroy is not a function

Does anybody know what's going on?! I'm very confused.

Edit:

Here is an image of what happens when I console.log table.

Instantiate the tables with an each() loop and store them in an array:

$(document).ready(function() {
        var tables = [];

    $("table").each(function(i){
     var table = $(this).DataTable({
        "aaSorting": [],
        "scrollX": true,
        "scrollY": 530,
        "scrollCollapse": true,
        "lengthMenu": [
            [100, 400, 1000, 5000, -1],
            [100, 400, 1000, 5000, "All"]
        ],
        "retrieve": true
    });
    tables.push(table);
    });

    $('#button').click( function () {
        // Then you can call destroy on that object
        var elem = tables[0].table().node();
        tables[0].destroy();
        // And empty the element
        $(elem).empty()
    } );
} );

Link to jsFiddle