Chapter 7 is a liquidation chapter. The debtors "surrender" assets to the bankruptcy trustee who may liquidate any of their nonexempt assets. Trustees do not administer assets with little or no equity. In exchange, debtors are discharged from all dischargeable debts.
Chapter 13 is a reorganization chapter, reserved for individuals (and conceptually similar to the business' Ch.11). A qualifying individual or a married couple reorganizes their debts through a court-approved plan, usually with monthly payments over time. Chapter 13 is good for wage earners and sole proprietors with a regular source of income. In Ch.13, the debtors usually retain possession of their assets.