Use AJAX to update dynamic div with information read from a csv file (Python/Flask)

Question

I need to update the contents of a dynamic div with information I a getting from a csv file using Python / Flask. I cannot attach my full code as it is quite long, but here is a summary of the problem. I am using a normal csv read routine and then serving it with Flask:

@app.route('/myStuff', methods=['GET', 'POST'])
def myStuff():        
    with open('static/databases/myData.csv', 'rb') as n:
        reader = csv.reader(n, delimiter=",")
        counter = len(myDatabase)
        myDatabase = list(reader)
        myIds = [col[1] for col in myDatabase]

Then, in my myStuff.html I have a parent div to be fed:

<div id="myDiv"></div>

Later, I call the csv data like this:

var myDatabase = {{ myDatabase|safe }};
var counter = {{ counter|safe }};

Then, using javascript I generate a number of divs within myDiv according to the length of the csv data:

for(var i = 1; i < counter; i++) {
    $('#myDiv').append('<div>' + myIds[i] + '</div>');
};

In parallel I have some routines to modify the csv file (specifically the number of items), and I want them to be updated wihout reloading the complete html. I have tried adding a button to my html:

<button type="button" id="myButton" >Reload</button>

And then using a simple function with jQuery to reload myDiv within the html:

$('#myButton').on('click', function() {
    $('#myDiv').load('/myStuff.html');
});

But nothing seems to be reloading. I am quite new to this sort of routine, and I have not been able to find any tutorial or example dealing with the same kind of data (csv) using Python / Flask. Any help will be really appreciated.

---

Edit: Thanks to @caisah I managed to reload the data using AJAX, but I am having a new problem. I only need the children of #myDiv to be reloaded and with the code I have for now the complete html is been reloaded within the #myDiv container:

$('#myButton').on('click', function() {
    $('#myDiv').load('/myStuff');
});

I have tried pointing at the contents using:

$("#myDiv").load(location.href + " #myDiv");

After @Peca's answer to this question, but only the parent div (and not the children) gets reloaded. Any hints on how to achieve this?