Help required with Embedding Vimeo videos into posts

The technique I previously used no longer appears to work for embedding Vimeo movies. Could someone please explain simply and in plain English how to embed as cannot find a solution in FAQ and when I try to follow Forrest’s post for embedding YouTube videos it doesn’t seem to work for Vimeo movies. Any help appreciated.

Although I can embed Vimeo videos to show up on a desktop computer they do not display on mobile devices such as iPads or iPhones. Does anyone know another technique for embedding Vimeo different to the technique below that I use that might solve this problem? I have simply embedded by inserting [vimeo] then just the number at the end of video URL without any spaces then [/vimeo]. Don’t forget to put the forward slash in front of the word ‘vimeo’ in the second set of brackets.