If you operate through a Limited Company then it is a separate legal entity to you. Having a Limited Company means you have Limited Liability, hence your liability is limited to the investment you have made in the business. It is the business which becomes inslovent, not you personally.
If you have a limited Company you're unlikley to go personally bankrupt unless you have personally guaranteed loans, for example with a charge over your house, although if you have then there's little point forming a limited Company in the first place.
If a business has enough assets to pay its debtors then the Receiver would usually do this (although it's normal for a business to go into a period of administration to see if it can be saved before liquidation). But most businesses are well past this point by the time they are forced into administration/liquidation.
Unless the court feels there has been some form of negligence, when your limited Company becomes insolvent the worst case for your personally (apart from losing your income and business, which clearly is bad) is likely to be that you could be barred from becoming a company director for a period of time.