Copy static range and paste at new cell. Macro VBA

I have a range F5:H79.

At present I copy this range and paste it at cell I5
and subsequently L5 etc.
What I would like to do is automate this ie copy $F$5:$H$79 and then paste where my cell is highlighted.I5,L5,O5 etc
Ideally I would like to paste without having to select the cell (ie everytime i press the button it pastes to the next available cell5 if you see what i mean?)

I tried to record a Macro by just Copying and Pasting to the same cells but made a right mess of it!!

Appriciate some help.

Thanks for the reponse:
This copies the range to the relevant columns listed ie colum f has copied to column I column G to L and H to O !!
I may have not explained myself very well.

If I describe what I do manually then you may understand a little btter.

I copy the range F5:H79
select I5 and paste.
I copy F5:H79
select cell L5 and paste ad infinitum.

There should not be any static reference in the Macro or I will have to put twenty years of column rferences in.

Another way that the same result i9s achieved manually is by selecting the F5:H79 range and dragging it right over three columns and then sunsequently dragging that range (I5:K:79) across three columns.

i hope you see what it is im trying to automate?

I haven't come to the select next free column.