Hi Olga,
I suggest you run the windows update, please also install the VS2013 Update 2. And then re-install it again from the web installation. Please also make sure that it is not the network issue when you install it with browser.
But if still no help, since it is related to the specific extension tool, please post a issue here:
http://visualstudiogallery.msdn.microsoft.com/11cfc881-f8c9-4f96-b303-a2780156628d, I think you would get better response there.
Best regards,
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