The procedure for replacing a lost, stolen, or damaged UK passport, often referred to as a "BRP" (Biometric Residence Permit), can vary depending on your specific circumstances. Here's a general outline of the steps:

1. **Report the Loss or Theft**: If your BRP was lost or stolen, report it to the police and obtain a crime reference number. This is important for your replacement application.

2. **Check Eligibility**: Ensure you are eligible for a replacement BRP. Typically, this includes having at least 90 days left on your current BRP, a valid reason for needing a replacement (e.g., loss or damage), and being in the UK.

3. **Complete the Application**: You can apply for a replacement BRP online through the UK government's official website or using a paper application form (BRP(RC)). Follow the instructions and provide all necessary details.

4. **Pay the Fee**: Pay the required fee for the replacement BRP. As of my last update in 2022, this fee was around £15. Verify the current fee when you apply.

5. **Provide Supporting Documents**: You will need to provide documents such as your crime reference number (if applicable), a passportsized photo, and any other required documents based on your situation.

6. **Biometric Appointment**: If instructed, you may need to attend a biometric appointment to provide your fingerprints and a photo. This will be scheduled as part of your application process.

7. **Receive Replacement BRP**: Once your application is approved, you will receive a replacement BRP. It can take several weeks for the replacement to be processed and sent to you.

Please note that the application process and requirements may change over time, so it's essential to check the official UK government website or contact UK Visas and Immigration for the most uptodate information and guidance for your specific situation.