You can use a "perform varying" loop to look at each block of the string within each line, where each block is a string the length of the string you are looking for. Here is an example that works in OpenCobol:
IDENTIFICATION DIVISION.
PROGRAM-ID. FIND-STRING.
ENVIRONMENT DIVISION.
INPUT-OUTPUT SECTION.
FILE-CONTROL.
SELECT IN-FILE ASSIGN TO 'SAMPLE-LEN.TXT'
ORGANIZATION IS LINE SEQUENTIAL.
DATA DIVISION.
FILE SECTION.
FD IN-FILE.
01 IN-RECORD PIC X(80).
WORKING-STORAGE SECTION.
01 END-OF-FILE-SWITCH PIC XXX VALUE 'NO '.
88 END-OF-FILE VALUE 'YES'.
01 STRING-MARKER PIC X(7) VALUE 'LENGTH('.
01 STRING-MARKER-LENGTH PIC 99 VALUE 7.
01 STRING-SOUGHT PIC X(11).
01 STRING-INDEX PIC 99.
01 RECORD-LENGTH PIC 99 VALUE 80.
PROCEDURE DIVISION.
MAIN.
OPEN INPUT IN-FILE
PERFORM UNTIL END-OF-FILE
READ IN-FILE
AT END
SET END-OF-FILE TO TRUE
NOT AT END
PERFORM FIND-STRING
END-READ
END-PERFORM
CLOSE IN-FILE
STOP RUN
.
FIND-STRING.
PERFORM VARYING STRING-INDEX FROM 1 BY 1
UNTIL STRING-INDEX > (RECORD-LENGTH
- STRING-MARKER-LENGTH)
IF IN-RECORD(STRING-INDEX:STRING-MARKER-LENGTH) =
STRING-MARKER
UNSTRING IN-RECORD(STRING-INDEX
+ STRING-MARKER-LENGTH : 10)
DELIMITED BY ')' INTO STRING-SOUGHT
END-UNSTRING
DISPLAY STRING-SOUGHT END-DISPLAY
END-IF
END-PERFORM
.