Using Data Fill function to copy a Countif formula
 

I have a worksheet that contains the dates on which an user has logged on to
a computer network - sample data below:

Date User
22/1 Rachael
22/1 Sue
22/1 Claire
22/1 Sam
23/1 Sue
24/1 Rachael
24/1 Sue
25/1 Claire

I have used the countif formula to count the number of times that an user
(Claire)has logged on:

Claire =countif(b1:b8,"Claire")
Sue
Rachael
Sam

I would like to copy this formula for all users without needing to change
the name for each of the copied formulas. Can/should I use data fill to do
this?

Many thanks.

Rachael