I have a file that I need to parse multiple sections from the file.

The file contains multiple lines that start with ST (Abunch of data)
Then the file contains multiple lines that start with SE (Abunch of data)

SE*30*0001
ST*810*0002

I need all of the lines between and including these.
They are invoices.
The invoice starts with the ST line and ends with the SE line.

I need to break out all of the invoices into separate files.

Can someone please help me. I know Grep, sed, or AWK can do this, but not sure how.
Thank you


Here is an example:
ST*810*0001
BIG*20080315*1220680417**SUPPLY***DI
N1*SF*MCLANE HIGH PLAINS*92*46120004
N1*ST*SWC 7-11 #57134*91*571315
N3*2712 E 8TH ST
N4*ODESSA*TX*79761
REF*ST*000134
ITD*05*3*****7*****NET 7
IT1**1*CA*20.09**CB*649251*PI*093*UP*099299711018*RA*NA
TXI*ZZ*1.53****2
CTP**RES*0***CSR*1
PID*F****7-11 T-SHIRT BAG 1/7 BBL
PO4*1000
IT1**1*EA*33.72**CB*834861*PI*093*UP*012253022401*RA*NA
TXI*ZZ*2.57****2
CTP**RES*0***CSR*1
PID*F****KIT CONCRETE CHAMP
PO4*1
IT1**1*EA*0.03**CB*192849*PI*093*UP*000000192842*RA*NA
CTP**RES*0***CSR*1
PID*F****SCS 711 BK 200
PO4*1
IT1**30*EA*2.59**CB*001511*PI*093*UP*025215102776*RA*NA
CTP**RES*0***CSR*1
PID*F****MAXELL T-160 PLUS VIDEO
PO4*1
TDS*18454
SAC*C*G740***5300*******06***SERVICE
CTT*4
SE*30*0001