I have just installed Apache on my machine.

Can you FTP to it from another computer?

no,

Apache is a webserver, not an ftp server.
FTP and HTTP use another protocol, so it won't work

there are a lot of free and good ftp servers around.
on Linux proftpd is used a lot, I forgot the name of the windows ftp server...
was something like serv4u

You can use indexing of folder. that's cute way to use like ftp on different port not 21. it maybe secure.
just try it

Can you explain how you would do that?

Just create new folder in your document root, make link from your site to that folder. But that folder must contain different files not index.html.index.php,... ( all files that you show in httpd.conf->DocumentIndex ).Secure it them for read only, or not. thats all.
it will be indexed and will be like simple ftp service for you.

That makes sense but how would I place a file there from a remote site?

I guess I am just overlooking something simple.

I think we can use some files for uploading files, but how? i'm learing it, so nothing clear i have on my hands.
when i did it, i would post it. i heard we can do it, some code in files just all.

I was going to suggest the same thing; either write an uploading script in the scripting language of your choice or simply download one off popular script download sites like Hotscripts.com.

The last time I checked for something like this, I recall seeing some nice looking ones.

Some even handle both; uploading and downloading files management.

You are right. did you do like this? i'm searching and didn't do yet. but i hope it will work.

try this script