As I remember you have a windows 7 computer, with the windows 8, or probably any with uefi boot on you need a special key. Some distros, mint, ubuntu, open suse, and fedora all have it with the live disk, or usb. Peach, zorin, and a lot, maybe most of others do not. I have heard a lot of conflicting info on why, but it's the way it is I guess. If you don't have a uefi computer, then it should be fairly straight forward. Nick and Cat have posted ways to install on those uefi computers. I sometimes have trouble with simple directions.
Al gave good advice, but when I installed I just used the something else for where to put, then (I already had the partition) I formatted to ext4 and installed. Course I also put the grub on the boot partition, and home on a home partition so my files could all be accessed from any of my 5 root partitions. I made my partitions from a live gparted disk, tho you probably don't have to, and decided to have 5 so I could play with new systems. I only have 500gb on an 2006 old xp computer, but have
8 makulu (now was open suse , but I ran out of partitions)
9 I'm not sure only a few mib
You do have to format when you install (according to a tutorial on one of the distros I've had, forget which), and ext4 was advised to me for root, ext 3 for grub or boot. I have ext4 for home, but if you use it with windows you need fat 32 I think. I'm a bit leery as windows doesn't see linux files and will overwrite them. Peach has it's own gparted on the live disk, and after install. For some reason I had to use burg instead of grub to see my other root partitions, but that is the only problem I have had with 2 installs. Nothing went wrong when I replaced peach the first time, except it made it easier to try other distros. I'm thinking about combining 2 partitions and trying a virtual machine, but you know people say if it aint broke don't fix it. Sometimes I think if it aint broke I'm not trying hard enough. It's getting to be a pain making sure these 5 and 3 on a laptop are all updated. I know I'm keeping peach on this computer, but haven't decided on the rest for sure. On my laptop I can't install peach cause it's uefi, and I'm trying to keep windows on it also.
As for posting the screenshot of your partitions, you need a photo sharing place online to do that. Or just manually type it in. I guess I'm a bit paranoid and haven't joined any yet. I guess I have joined google plus, you do that just to get an e-mail address I think. I have a hard time remembering that, and a lot of other things, especially when I'm frustrated by trying to post a screenshot.