How to Pivot in T-SQL
To your data set, I added a row number (ROW_NUMBER), and this field is divided by 5 (you wanted 5 columns in the output) and hold the rest and the hole number of this division in fields inRows , inColumns. Base on this, will do the pivot.

There is a special case when you divide by 5 and have rest = 0 ; for this I use case...

,RN / 5 + CASE WHEN RN % 5  = 0 THEN -1   ELSE 0  END AS inRows

,CASE WHEN RN % 5  = 0 THEN 5 ELSE RN % 5 END AS inCols

;WITH myCTE AS
(
SELECT
  Title,StartOfShowing
  ,ROW_NUMBER() OVER(PARTITION BY Title ORDER BY StartOfShowing ASC) AS RN
FROM
  tblResults
)
, myPivotSource AS 
(
SELECT Title,StartOfShowing
   --,RN
   --,(RN - 1 )/ 5  AS inRows
   ,RN / 5 + CASE WHEN RN % 5  = 0 THEN -1   ELSE 0  END AS inRows
   ,CASE WHEN RN % 5  = 0 THEN 5 ELSE RN % 5 END AS inCols
FROM
   myCTE
)

SELECT Title
    , CONVERT(varchar(10),[1],101) As dateofShowing 
    , CONVERT(varchar(5),[1],108) AS [1]
    , CONVERT(varchar(5),[2],108) AS [2]
    , CONVERT(varchar(5),[3],108) AS [3]
    , CONVERT(varchar(5),[4],108) AS [4]
    , CONVERT(varchar(5),[5],108) AS [5]
FROM 
   myPivotSource AS PS
   PIVOT 
   (
      MIN(StartOfShowing) FOR inCols IN ([1], [2], [3], [4], [5])
   )PV
ORDER BY Title, inRows


output of it:

Title                               dateofShowing   1       2       3       4       5
A Quiet Place                       04/30/2018      12:40   15:05   17:30   19:55   22:20
Avengers : Infinity War             04/30/2018      11:10   11:30   12:00   13:00   13:20
Avengers : Infinity War             04/30/2018      14:00   14:20   14:40   15:10   16:10
Avengers : Infinity War             04/30/2018      16:30   17:10   17:30   17:50   18:20
Avengers : Infinity War             04/30/2018      19:20   19:40   20:20   20:40   21:00
Avengers : Infinity War             04/30/2018      21:30   22:50   null    null    null
Avengers : Infinity War  ATMOS      04/30/2018      12:40   15:50   19:00   22:10   null
Avengers : Infinity War  PLATINUM   04/30/2018      14:40   17:50   21:00   23:30   null
Love Simon                          04/30/2018      14:25   19:15   null    null    null
Rampage                             04/30/2018      16:55   21:45   null    null    null


dbfiddle