Thank you for your post.
You can purchase replacement software electronically. Go to http://www.filemaker.com, click the "Purchase" tab and select "FileMaker Store". On the next page, under "Quick Links", select "Buy replacement software". Under "Replacement Software and Manuals", click the pop-up and select "FileMaker Pro 11 Download". Your license key is required for purchase, but you will then be able to download FileMaker Pro 11 directly to your computer.
Let me know if you need additional clarification.
If you have access to another computer with a DVD player, you might be able to copy the data from the DVD onto a USB memory stick and then use it to install onto your new computer.