I'm So Confused

While doing this challenge, I am running into all sorts of problems.

For one, it's like the if statement within the for loop is being ignored when it comes to breaking out of the while loop. I've tried break, false, and even making an outside variable equaling true so I can change it to false if the if statement happens. However, it obviously works because the html variable prints to the page.

Two, I have no idea where or how to add alert("Sorry, this name is unavailable") to where it works properly. It either shows up no matter what I put in, creates an endless loop, or shows up until the for loop either completes or has a chance to repeat.

I'm lost.

Here's what I have currently:

function print(message) {
  var outputDiv = document.getElementById("output");
  outputDiv.innerHTML = message;
}

var html = "";

function studentReport() {
  while(true) {
    var studentRequest = prompt("Please enter the student's fullname below or \"quit\" to exit.");
    var studentName = studentRequest.toLowerCase();
    for(var j = 0; j < students.length; j++) {
      var student = students[j].name.toLowerCase();
      if(studentName === student) {
        html += "<b>Student: " + students[j].name + "</b>";
        false;
      }
    }
    if(studentRequest === "quit") {
      break;
    }
  }
}

studentReport();

print(html);

Thanks.