I have different strings in my array. Is it possible to create a divs like 
<div id="results"></div> for each array element in my HTML page?
Sure, simple example without using any frameworks or libraries:
var cars = 'Saab,Volvo,BMW,GMC,Nissan,Ford'.split(',');
for (var c in cars) {
    var newElement = document.createElement('div');
    newElement.id = cars[c]; newElement.className = "car";
    newElement.innerHTML = cars[c];
    document.body.appendChild(newElement);
} 
You can take a look at how this works using jsFiddle here: http://jsfiddle.net/Shaz/geNNa/
Yeah, using a for loop:
var arrayVariable = ['one','two','three'],
    arrayLength = arrayVariable.length;
for (i = 0; i < arrayLength; i++) {
  $('<div class="results" />').text(arrayVariable[i]).appendTo('body');
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
Or slightly more jQuery-fied:
var arrayVariable = ['one', 'two', 'three'];
$.each(arrayVariable, function(index, value) {
  $('<div />', {
    'text': value
  }).appendTo('body');
});
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
You could do this in vanilla JavaScript too, if you'd prefer:
var arrayVariable = ["one", "two", "three"];
var arrayLength = arrayVariable.length;
var temp;
for (i = 0; i < arrayLength; i++) {
  temp = document.createElement('div');
  temp.className = 'results';
  temp.innerHTML = arrayVariable[i];
  document.getElementsByTagName('body')[0].appendChild(temp);
}
It's worth considering where the id is coming from; if more than one element is to be produced by this for loop, it might be better (depending on where, and how, the id is assigned) to use a class instead, as I did in both of my suggestions, as the id must be unique within the document.
While this answer was written quite a while ago, I felt it worth updating to reflect the possibilities offered by the (relatively new) Array.prototype.forEach(), which iterates over each element of a given array, and applies a function for each iteration. For example, given the HTML:
<ul id="fruits"></ul>
And the JavaScript:
var fruitsList = document.getElementById('fruits'),
    li = document.createElement('li'),
    clone;
['apples','bananas','cranberries'].forEach(function (fruit, index) {
    clone = li.cloneNode();
    clone.textContent = index + ': ' + fruit;
    fruitsList.appendChild(clone);
});
Resulting in the output:
<ul id="fruits">
    <li>0: apples</li>
    <li>1: bananas</li>
    <li>2: cranberries</li>
</ul>
var fruitsList = document.getElementById('fruits'),
  li = document.createElement('li'),
  clone;
['apples', 'bananas', 'cranberries'].forEach(function(fruit, index) {
  clone = li.cloneNode();
  clone.textContent = index + ': ' + fruit;
  fruitsList.appendChild(clone);
});
<ul id="fruits"></ul>
References:
Array.prototype.forEach().document.createElement().document.getElementById().document.getElementsByTagName().Element.className.Element.innerHTML.Node.appendChild().Node.cloneNode().Node.textContent.appendTo().$.each().text().A Basic For Loop + jQuery should do it. Just replace body with a selector for the container you want to add the divs to. Here is a fiddle showing the technique in use.
var myCars=new Array("Saab","Volvo","BMW");
for(var x=0; x<myCars.length; x++){
    $('body').append('<div id="' + myCars[x] + '">' + myCars[x] + '</div>');
}
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