[bash] How to loop through file names returned by find?

I like to use find which is first assigned to variable and IFS switched to new line as follow:

FilesFound=$(find . -name "*.txt")

IFSbkp="$IFS"
IFS=$'\n'
counter=1;
for file in $FilesFound; do
    echo "${counter}: ${file}"
    let counter++;
done
IFS="$IFSbkp"

As commented by @Konrad Rudolph this will not work with "new lines" in file name. I still think it is handy as it covers most of the cases when you need to loop over command output.