Deleting an iCloud account without the password on an iPhone 5 can be a challenging task. iCloud accounts are crucial as they store a lot of personal data, so it's important to follow the correct procedure.

One way to delete an iCloud account without the password is by contacting Apple Support. They will guide you through the process and ensure that your data is secure.

If you have access to the email linked to the iCloud account, you can try to reset the password through the 'Forgot Apple ID or password' option on the iCloud login page.

Another method is to perform a factory reset on your iPhone 5. This will erase all data, including the iCloud account. However, make sure to back up any important information before proceeding.

It's essential to remember that attempting to delete an iCloud account without the password can lead to data loss or device lockout. Always proceed with caution and consider seeking professional help if needed.