Harrison Burrows, Jonson Clarke-Harris and Peter Kioso got the goals for Posh.
But their cause was helped when James Olayinka was sent off only five minutes in for catching Ephron Mason-Clark with a flying boot.
Here are the best pictures from our photographer David Lowndes.
Get more Posh news, here.
Here are the best pictures from our photographer David Lowndes.
![Peterborough United fans enjoy the 3-0 win over Cheltenham Town.](https://www.peterboroughtoday.co.uk/webimg/b25lY21zOjM4MzU4OTMyLWU5YjEtNDlhNS04MWY4LThmZTk1NWFlZTE0Yjo1Y2E0ZDNiZS1iMzZlLTRjMjctYTcyYi05MGQyNzYyMjQ2ODk=.jpg?crop=3:2&width=640)
13. Posh 3 Cheltenham 0
Peterborough United fans enjoy the 3-0 win over Cheltenham Town. Photo: David Lowndes
![Peterborough United fans enjoy the 3-0 win over Cheltenham Town.](https://www.peterboroughtoday.co.uk/webimg/b25lY21zOjA3ODc2ZmUwLTRiNTMtNDNmOC04OTA1LTFkNGQ1ZGNmNjljZTo2OGIxNTE1Zi04MmM1LTQyNDctOGQyMi0wYmVlOTNmODhlMmQ=.jpg?crop=3:2&width=640)
14. Posh 3 Cheltenham 0
Peterborough United fans enjoy the 3-0 win over Cheltenham Town. Photo: David Lowndes
![Peterborough United fans enjoy the 3-0 win over Cheltenham Town.](https://www.peterboroughtoday.co.uk/webimg/b25lY21zOmVmMTQwYmE2LTc3Y2EtNDkxNi05YzllLTY5MGIyMzE1YzIxZjphMzZkY2NiNC1iYjM5LTQzZmYtYjdkYi00MjRlOWVjODc0ZDI=.jpg?crop=3:2&width=640)
15. Posh 3 Cheltenham 0
Peterborough United fans enjoy the 3-0 win over Cheltenham Town. Photo: David Lowndes
![Peterborough United fans enjoy the 3-0 win over Cheltenham Town.](https://www.peterboroughtoday.co.uk/webimg/b25lY21zOmU3MGQ2ODVhLWRlMWUtNDI4OS1iNTlkLTdjZDI5NTk5ZmZlZjo5MDI4OGExMy1iZWVkLTRkNWYtOWI3Yy1hOTBjZmMyNDhiNDE=.jpg?crop=3:2&width=640)
16. Posh 3 Cheltenham 0
Peterborough United fans enjoy the 3-0 win over Cheltenham Town. Photo: David Lowndes