Limiting SQL Server Transaction log - sql-server

Question

I currently have a SQL script that takes all the tables with a certain name and deletes records from it.
There are millions of records in these tables so the transaction log keeps growing even with recovery set to SIMPLE. I am putting the delete in side a transaction and it's only deleting around 50000 records at a time. Can anyone suggest some way to not let the transaction log grow uncontrollably. Below is the rough example of the SQL I am running.
DECLARE delete_cur CURSOR FOR
SELECT DISTINCT Name FROM Sys.tables WHERE name like 'ToDelete_%'
OPEN delete_cur
FETCH NEXT FROM delete_cur
INTO #tableName
WHILE ##FETCH_STATUS = 0 AND #timeToStop = 0
BEGIN
SELECT #RowCount = NULL, #MaxID = NULL, #MinID = NULL, #ID = NULL, #TableRowCount = 0
IF NOT Exists (Select 1 from ArchiveInfoAuditTables WHERE Name = #tableName)
BEGIN
SET #params = N'#MaxID_Out DECIMAL(18,0) OUT, #MinID_Out DECIMAL(18,0) OUT, #RowCount_Out DECIMAL(18,0) OUT';
SET #SQL = 'SELECT #RowCount_Out = COUNT(ID), #MaxID_Out = MAX(ID), #MinID_Out = MIN(ID) FROM ' + #tableName
print #SQL
EXEC sp_executesql #SQL, #params, #RowCount_Out = #RowCount OUT, #MaxID_Out = #MaxID OUT, #MinID_Out = #MinID OUT;
PRINT #tableName + ' Row Count: ' + CONVERT(VARCHAR, #RowCount) + ' Max ID: ' + CONVERT(VARCHAR, #MaxID) + ' Min ID: ' + CONVERT(VARCHAR, #MinID)
SET #params = N'#ID_Out DECIMAL(18,0) OUT, #Date DATETIME';
SET #SQL = 'SELECT TOP 1 #ID_Out = ID FROM ' + #tableName + ' WHERE AuditTimeStamp < #Date ORDER BY ID DESC'
print #SQL
EXEC sp_executesql #SQL, #params, #ID_Out = #ID OUT, #Date = #JanOfCurrentYear
INSERT INTO DeleteInfo (Name, StartDeletingFromID, MaxID, MinID, NumberOfRows)
VALUES (#tableName, #ID, #MaxID, #MinID, #RowCount)
END
ELSE
BEGIN
SELECT TOP 1 #ID = StartDeletingFromID FROM DeleteInfo WHERE Name = #tableName
END
IF (#ID IS NULL)
BEGIN
PRINT 'No Record needs to be deleted for Table: ' + #tableName
GOTO Fetch_Next
END
WHILE 1 = 1
BEGIN
BEGIN TRANSACTION
SET #params = N'#RowCount_Out DECIMAL(18,0) OUT, #NumOfRowsToDelete_Out BIGINT, #ID_Out DECIMAL(18,0)'
SET #SQL = 'DELETE TOP (#NumOfRowsToDelete_Out) FROM ' + #tableName + ' WHERE ID <= #ID_Out ;'
+ 'SELECT #RowCount_Out = ##RowCount'
PRINT #SQL
EXEC sp_executesql #SQL, #params, #RowCount_Out = #TempRowCount OUT, #NumOfRowsToDelete_Out = #NumOfRowsToDelete, #ID_Out = #ID
SET #TableRowCount += #TempRowCount
SET #TotalRowCount += #TableRowCount
COMMIT TRANSACTION
CHECKPOINT;
SET #MSG = 'Deleted ' + CAST(#TableRowCount AS VARCHAR) + '. ' + CONVERT(varchar, #TimeElapsed) + ' elapsed.'
RAISERROR (#MSG, 0, 1) WITH NOWAIT
IF #TempRowCount < #NumOfRowsToDelete BREAK;
END
Fetch_Next:
PRINT '/******************************************************************/'
FETCH NEXT FROM delete_cur
INTO #tableName
END
END_HERE:
CLOSE delete_cur;
DEALLOCATE delete_cur;

Answer 1

You can limit the size of the log (here we limit the size to 512 MB):
ALTER DATABASE [DatabaseName] MODIFY FILE ( NAME = N'DATABASENAME_Log', SIZE = 512000KB , FILEGROWTH = 0)
Create a maintenance job for backups the DB and shrinks the log
you can use this simple command to shrink the log file
DBCC SHRINKFILE (DataFile1, 512)