In Eclipse Go to Window > Open Persepective > Other > DDMS. Navigate to the DB like the image from the answer below, select the database then click on the floppydisk icon to pull the file from the device on the top right.
In the emulator, the location in DDMS should be /data/data/com.yourNamespace/databases in the File Explorer tab.
This is a pic of the DDMS perspective. In the File Explorer tab on the right, you would drill down to the databases folder. These are virtual folders, so you won't find them on your system. To examine the db, you would select the icon for Pull file from the device (sorry, it got cropped out in this screenshot) and open that file in SQLite.
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