Grate the coconut gently, in my case, carefully press the flesh part against the grater and change position to cover all the portion. You will learn the knack as you keep doing few times.
Use a glove and divide the grated coconut to small portions and put inside a ziploc cover. You can use any freezer container too, but store as small portions/ thin portions.
Store in freezer. When needed, just break a the required amount and put back inside the unused portion. Do not thaw and freeze again.