To tan a deer hide with vinegar, use a knife to remove any flesh from the skin, lay the skin on a flat surface, and cover the skin-side of the hide with salt. After 24 hours, soak the hide in clean water for two hours before placing the hide in a mixture of vinegar, water and salt. Allow the hide to soak in the vinegar mixture for three days, stirring frequently, and rinse the hide with baking soda and water.
To make the vinegar mixture, combine equal parts vinegar and water, and add 2 pounds of salt for each gallon of liquid. Stir the mixture several times each day, and rinse the hide with a combination of 4 gallons of water and 2 cups of baking soda for 40 minutes before rinsing with clean water.
Dry the hide with a towel, rub it with tanning oil, and fold it half. Allow the hide to remain undisturbed overnight, and hang it until it is dry. Rub the skin-side of the hide back and forth over a sawhorse until it is soft and supple.
Alternately, tack the hide to a piece of wood after soaking it in vinegar, and allow the hide to partially dry in a shady location. Rub the hide with fat liquor oil, and rub it over a sawhorse to soften it. Apply additional oil to the hide if necessary.