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/b25lY21zOjhmMWFkMjFhLWE0MDQtNDQ4ZC04N2RiLTkyNGM4Yzg3OWYzYzo1ZGYwZWI0MS1mOTkyLTRiNmQtODM4Yi0yNGEwZDNkMDhmMjM=.jpg?crop=3:2&width=640)
5. 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/b25lY21zOmM5ZjA0ZGY1LThlM2QtNDRhOS1hNDZkLTk4NWEzYmQ4ZjU4ZTo4MWEzNjNkNy0zZjI3LTQzYzgtOTk3ZC0wNTZiNjQ5Nzg0YWI=.jpg?crop=3:2&width=640)
6. 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/b25lY21zOmYzMGRkNmQzLWJkMzItNGNmZC1iNzgzLTQxYjczY2IxYjUxMTo5ZGRjMDEwNC0zNmQ4LTQ0NGQtYjg1Ni01NmY1OGU2OWQ3Nzc=.jpg?crop=3:2&width=640)
7. 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/b25lY21zOjE1NDAxNTU4LTcwYWQtNDAxOC04OThhLTI2NjFlOTQ1ODY4ODo0ZTg4YTIxMC1mNDg5LTRkZDMtOTgxOC05ODM2ZTllZTQwODI=.jpg?crop=3:2&width=640)
8. Posh 3 Cheltenham 0
Peterborough United fans enjoy the 3-0 win over Cheltenham Town. Photo: David Lowndes