Hi,
The records are not indexed so there is no search facility as such. However, if you have a date, or even a year for a death it's actually quite easy to locate. Simply study the description of each film in the catalog summary here
https://www.familysearch.org/search/catalog/1321853?availability=Family%20History%20Library and determine which film it will be on. Some films are daily burial records and some are Lair registers that show all burials in that lair. Start with the daily interments. If you view the film using the "multiple image " option ( at left hand side of page ), you will see occasional black separators, these give the contents of the following section of the film which is usually split into groups of years, so you can quickly jump through say 50 / 100 pages at a time to find the section and locate the year and the record within the year. They are in chronological order. Remember these are BURIAL dates, so you need to check a few days beyond the date of death or even more. For example, I had an uncle killed in action in WW2, so it was 4 weeks later before his body was repatriated for burial.
Sorry if that seems like "teaching granny to suck eggs ". Hope it helps, but if you get stuck PM me and I'll see if I can help.
Andrew