create new div with javascript code example

Example 1: js create element

var newDiv = document.createElement("div");
document.body.appendChild(newDiv);

Example 2: javascript create div in div

Your code works well you just mistyped this line of code:

document.getElementbyId('lc').appendChild(element);

change it with this: (The "B" should be capitalized.)

document.getElementById('lc').appendChild(element);  
HERE IS MY EXAMPLE:

<html>
<head>

<script>

function test() {

    var element = document.createElement("div");
    element.appendChild(document.createTextNode('The man who mistook his wife for a hat'));
    document.getElementById('lc').appendChild(element);

}

</script>

</head>
<body>
<input id="filter" type="text" placeholder="Enter your filter text here.." onkeyup = "test()" />

<div id="lc" style="background: blue; height: 150px; width: 150px;
}" onclick="test();">  
</div>
</body>

</html>