Is it true IE 8 doesn't support .length property?

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Internet Explorer has no problems with the length property. If it didn't support it, then it would report undefined not 0.

The HTML is invalid, there is no name attribute for the div element. Internet Explorer is just error recovering in a different way to Firefox and not matching the div elements with getElementsByName

Elements that support both the NAME attribute and the ID attribute are included in the collection returned by the getElementsByName method, but elements with a NAME expando are not included in the collection.

— MSDN getElementsByNameMethod

Use a class instead. Internet Explorer 8 doesn't have a native getElementsByClassName, but there are no shortage of cross-browser implementations or you could use a selector engine or a big library that includes one such as YUI or jQuery.

getElementsByName is for use on input HTML elements - DIV elements do not have name attributes

Your problem is not that .length is not working on IE, but that getElementByName() is not working on IE... : getElementsByName in IE7