If you read over the Private Functions section of the HTML service documentation, you'll find an example that does almost exactly what you're trying. The code below adapts that example to yours.
You need to keep the GAS server stuff separate from the HTML client stuff. For example, document.getElementById("test").innerHTML = ... means nothing in the context of the server / GAS code. Instead, the modification of the document will be done by Javascript on the client side - in this case, by a success handler.
A success handler is a client-side Javascript callback function that will receive the asynchronous response from your server function items().
Client-side calls to server-side functions are asynchronous: after the
browser requests that the server run the function doSomething(), the
browser continues immediately to the next line of code without waiting
for a response.
This means that there is no waiting for the return code from the call to your server function... the browser just keeps going. You'll see this in this example, as the "More loading..." text gets displayed after the google.script.run call, but before the response is received.
What if items() needs to do something more advanced... like read info from a spreadsheet? Go ahead and change it... just make sure that you return the text you want displayed, and that what you're returning is going to be valid HTML (so the innerHTML operation is OK).
Code.gs
function doGet() {
return HtmlService.createHtmlOutputFromFile('index');
}
function items() {
Utilities.sleep(5000); // Added to allow time to see the div content change
var exmp = 45;
return( "You have " + exmp + " items" );
}
index.html
<div id="test">Loading...</div>
<script type="text/javascript">
function onSuccess(items) {
document.getElementById('test').innerHTML = items;
}
google.script.run.withSuccessHandler(onSuccess).items();
document.getElementById('test').innerHTML = "More loading...";
</script>