It worked just as I wanted... I found it from an another forum
I don't know if it's ok to post worked answers from another forum or not in here:
here's the code that worked:
$(document).ready(function () {
// DOM is ready now
$.post("<%= Url.Action("ActionThatGetsTableOnly") %>",
"",
function(data) { $("#elementToReplaceId").html(); },
"html"
);
});