How to get child element by class name?

Use doc.childNodes to iterate through each span, and then filter the one whose className equals 4:

var doc = document.getElementById("test");
var notes = null;
for (var i = 0; i < doc.childNodes.length; i++) {
    if (doc.childNodes[i].className == "4") {
      notes = doc.childNodes[i];
      break;
    }        
}