I do not know if this is faster than your code or not (you will have to test it to see), but it involves a whole lot less looping...
Code:
Sub PositionNumbers()
Dim N As Long, LastRow As Long, ListToDelete As Variant
ListToDelete = Range("R8:R" & Cells(Rows.Count, "R").End(xlUp).Row)
LastRow = Columns("T:CG").Find(What:="*", SearchOrder:=xlRows, _
SearchDirection:=xlPrevious, LookIn:=xlValues).Row
Application.ScreenUpdating = False
For N = 1 To UBound(ListToDelete)
Range("T8:CG" & LastRow).Replace ListToDelete(N, 1), "", xlPart
Next
Application.ScreenUpdating = True
End Sub
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