Hello

Do not blame me for disturbing you.
It does not give me the fact that the table structure changes a little.

SET NOCOUNT ON
IF EXISTS (SELECT * FROM DBO.SYSOBJECTS WHERE ID =
OBJECT_ID(N'DIN') AND OBJECTPROPERTY(ID, N'IsUserTable') = 1)
DROP TABLE [dbo].[DIN]
;

IF EXISTS (SELECT * FROM DBO.SYSOBJECTS WHERE ID =
OBJECT_ID(N'OUTE') AND OBJECTPROPERTY(ID, N'IsUserTable') = 1)
DROP TABLE [dbo].[OUTE]
;

CREATE TABLE [dbo].[DIN]
(
[ID] [int] NOT NULL,
[LOGI] [int] NOT NULL,
[DATE_] DATETIME NOT NULL,
[AMOUNT] FLOAT NULL,
[OUT_AMOUNT] FLOAT NULL,
[OUT_DATE] DATETIME NULL,
[OUT_LOGI] [int] NULL,
primary key clustered (ID, Date_, LOGI)
)
;

INSERT INTO DIN
(ID,[LOGI],DATE_,AMOUNT)
SELECT '1','150',CONVERT(DATETIME,'05.01.2018',104),'2' UNION ALL
SELECT '1','160',CONVERT(DATETIME,'05.01.2018',104),'40' UNION ALL
SELECT '1','170',CONVERT(DATETIME,'06.01.2018',104),'10' UNION ALL
SELECT '1','180',CONVERT(DATETIME,'06.01.2018',104),'552'
;

CREATE TABLE [dbo].[OUTE]
(
[ID] [int] NOT NULL,
[LOGI] [int] NOT NULL,
[DATE_] DATETIME NOT NULL,
[AMOUNT] FLOAT NULL ,
PRIMARY KEY CLUSTERED (ID, Date_, LOGI)
)
;
INSERT INTO OUTE
(ID,LOGI,DATE_,AMOUNT)
SELECT '1','52',CONVERT(DATETIME,'05.01.2018',104),'182' UNION ALL
SELECT '1','53',CONVERT(DATETIME,'06.01.2018',104),'11'
;


Query

select D1.ID, D1.LOGI, D1.DATE_,
  D1.AMOUNT,
  CASE
   WHEN O1.AllocatedAmount > D1.AllocatedAmount THEN D1.AllocatedAmount - O1.PreviouslyAllocated
   WHEN O1.PreviouslyAllocated < D1.PreviouslyAllocated THEN O1.AllocatedAmount - D1.PreviouslyAllocated
   ELSE O1.AMOUNT END OUT_AMOUNT, O1.Date_ OUT_DATE, O1.LOGI OUT_LOGI
FROM (
  select D.*,
   A.AllocatedAmount - D.AMOUNT PreviouslyAllocated, A.AllocatedAmount
  from DIN D
  CROSS APPLY (
   Select SUM(D2.Amount) AllocatedAmount FROM DIN D2
   where D2.ID = D.ID and D2.DATE_ <= D.Date_ and D2.LOGI <=D.LOGI
   ) A
  ) D1
  INNER JOIN (
   select O.*, A.AllocatedAmount - O.AMOUNT PreviouslyAllocated, A.AllocatedAmount
   from OUTE O
   CROSS APPLY (
    Select SUM(O2.Amount) AllocatedAmount FROM OUTE O2
    where O2.ID = O.ID and O2.DATE_ <= O.Date_ and O2.LOGI <=O.LOGI
    ) A
  ) O1 ON O1.ID = D1.ID and
   (
    (O1.PreviouslyAllocated >= D1.PreviouslyAllocated and O1.PreviouslyAllocated < D1.AllocatedAmount)
   OR
    (O1.AllocatedAmount > D1.PreviouslyAllocated and O1.AllocatedAmount < D1.AllocatedAmount)
   )

UNION ALL

SELECT OTA.ID, D1.LOGI, D1.DATE_,
  D1.AMOUNT,
  CASE WHEN PreviouslyAllocated <= TotalAmountPerID THEN D1.AllocatedAmount - OTA.TotalAmountPerID
   ELSE D1.AMOUNT END OUT_AMOUNT, NULL OUT_DATE, NULL OUT_LOGI
FROM (
   Select ID, SUM(Amount) TotalAmountPerID
   FROM OUTE
   GROUP BY ID
   ) OTA
  INNER JOIN  (
   select D.*, A.AllocatedAmount - D.AMOUNT PreviouslyAllocated, A.AllocatedAmount
   from DIN D
   CROSS APPLY (
    Select SUM(D2.Amount) AllocatedAmount FROM DIN D2
    where D2.ID = D.ID and D2.DATE_ <= D.Date_ and D2.LOGI <=D.LOGI
    ) A
   ) D1 ON OTA.ID = D1.ID and
      D1.AllocatedAmount > OTA.TotalAmountPerID
--I added this only to make it easier to review the result. Not needed for the PROD code.
ORDER BY ID, DATE_, LOGI

The outcome of the question

ID    LOGI    DATE_    AMOUNT    OUT_AMOUNT    OUT_DATE    OUT_LOGI
1    150    2018-01-05 00:00:00.000    2    2    2018-01-05 00:00:00.000    52
1    180    2018-01-06 00:00:00.000    552    130    2018-01-05 00:00:00.000    52
1    180    2018-01-06 00:00:00.000    552    11    2018-01-06 00:00:00.000    53
1    180    2018-01-06 00:00:00.000    552    411    NULL    NULL

I want to be

Thank you