If you do this a lot, you can make it easier by putting a Paste Special button on the toolbar. This eliminates having to click on Edit before selecting Paste Special; you still need to select Unformatted Text when the Paste Special dialog box appears.
This procedure can be further enhanced by creating a macro that invokes the command sequence for Paste Special, Unformatted Text, putting a custom button on the toolbar, and then linking that button to the macro. This makes Paste Special, Unformatted Text a one click procedure; just click that special button on the toolbar.