I don't know people who doesn't understand the idea of life insurance. You pay a premium. When the life insured dies, the insurance company pays out to the beneficiaries. That works well in the many cases where the life insured is employed. But those who run their own businesses, whether as sole proprietors, partners or majority shareholders in a corporation have slightly different needs. Often this happens because of family members who do not want to see something that has been important to them sold up and dissolved. Pride and a sense of responsibility to employees complicate matters. In the case of a corporation, the other shareholders face problems of uncertainty in not knowing who will control the shareholding and potentially want to come in and run the business.
The answer is to plan for the business to continue after the death of the life insured. This requires action whilst the business is stable. Life insurance companies offer buy/sell agreements. The owner nominates someone to carry on running the business after death. The idea is that the parties agree a fair price for the sale when business is good. Firesales never produce good returns. There is no guarantee that the business itself would have enough liquid cash to buy out the deceased's interest. But if an acknowledged business value is set for federal estate tax purposes and inflation-proofed, the buyer insures and links to the buy/sell agreement.
Exactly the same is made in the case of a partnership where all the partners insure each other's lives and link to a buy/sell agreement. If the partnership is a separate business entity, it can insure the lives of the partners and buy out the interests of any one partner at a pre-agreed price. In the case of a corporation, either the major stockholders insure each other, or the corporation insures all major stockholders and uses the death benefits to redeem the stock at the agreed price.
Whichever permutation you put in place, the business can continue in exactly the way you want whilst still releasing cash to help provide for your family. All it takes is planning effort now. Talk to your insurance agent about the options and look for life insurance online quotes in the internet.