Cashmere and pashmina may also be hand-washed in cool water with a gentle cleanser such as ivory flakes or baby shampoo.  Soak for 5-10 minutes and squeeze clean gently, do not rub or wring. Rinse thoroughly and roll the item in a towel, then lay flat to dry over a towel, away from direct heat and sunlight. If needed, iron under a damp cloth on a low heat setting. Always wash each piece separately. 

Before storing your shawls and scarves ensure they are clean.  Moths don't hunger for the fiber itself, but rather for the food, dirt, perspiration or body oils left on an item. Do not store natural fibers in airtight containers. Most authorities suggest letting them breathe by storing in muslin or silk bags or in acid-free tissue paper. A plastic bag is effective if it is not entirely airtight.   You may also wish to use cloves, lavender, rosemary, thyme, dried orange peel or cedar chips to discourage moths. Place the spices or chips in a cloth sachet or handkerchief and avoid placing them directly on the garment to avoid staining.