Combine all of the ingredients in a large Dutch oven. Cover and cook over medium-low heat, stirring occasionally, until the apples become tender and break down, about 30 minutes.
Use a handheld immersion blender or a regular blender (for a smooth consistency) or a potato masher (for a chunky consistency) to puree the apples.
Taste and season with extra sugar, if necessary. Add water to thin, if necessary. Serve warm or at room temperature.
Video
Notes
For shelf-stable jars of applesauce, fill about 3 hot, sterilized pint jars with the hot applesauce, leaving about 1/2-inch of headspace at the top of each jar. Wipe the rims clean, add the lids and bands, and process in a hot water bath for 20 minutes. Cool at room temperature for 12 hours, test the seals, and store for up to 1 year.