From there, you can use the new menu shortcuts to navigate forwards and backwards through the hits, optionally replacing occurrences of the search string with the replace strings (see the Edit menu).
With the default settings, typing a search string does not move around in the main window. Specifically (unlike Emacs, Safari, or Firefox), you don't move immediately to the first occurrence of the search string. You have to hit return or one of the search keys (in the Edit menu) for that to happen. But you can enable this in the General pane of the Editing tab in the preferences dialog. Click on "Search using anchors". Now, when you search for a string, DrScheme will whizz you right to it and when you edit the search string, DrScheme will shift the insertion point based on the search string. In order for you to keep track of where edits will go, you'll see a funny looking little red dongle in your text. That's where the insertion point was when you started your search, and that's where DrScheme starts all of these implicit searches from.
Try it out and let us know what you think! In particular, is the anchor-based search or the non-anchor-based search more intuitive for you?