As per the usual, the first room has a group of three enemies. Take them out however you choose. If you're playing a mage, one of the enemies may carry a rather nice necromancer robe. Go into the cavern on the left. As you enter the caverns, you may find some undead fighting a mage. Kill both groups but be careful, the Draugr here use frost magic. Using fire magic can make quick work of them if you get the jump on them. Follow the hall into a room and up some stairs. Go over a bridge and down a few more stairs to get to a door to a new area.
Go down the stairs and you'll pass an overlook. After that, on the right will be a branching path and in front of you is a fire trap so you should sprint shout over it. Take a left and cross bridge (or drop down, it’s faster). You want to exit this room through the southern door which will bring you around and over a new bridge. Follow this path and you'll come to a larger room with an oil slick. Watch for an ambush and use the oil to your advantage here.
You'll come to a few bridge like sections and then go down a broken part to an area with a bunch of skeletal archers. Kill them but before you cross the bridge, there is a ramp along the north wall that leads to the lower level where a Word Wall awaits you. Head back up and cross the bridge. At the other end of the bridge will be a doorway with three gates and a set of rocks sticking out of the ground. Run strait past these so that they each activate causing all three gates to open. Just as you activate the last one, Whirlwind Sprint through the gates and then do a regular sprint the rest of the way.
On the other side, you will come to a room with a huge number of pressure sensitive tiles. There are two types of tiles. There are tiles with a dark center that have their holes at diagonals and then there are light tiles which have their holes in cardinal directions. You want to only step on the light tiles. When you get close to the end, all of the tiles seem to be dark so you will just have to sprint over to them. When you do, you will encounter Frostbite Spiders on the other side. Kill them and head through the web on the far side of the room. Then go through the wooden door just after that and pull the chain to the left side of the gate.
Cross the bridge in the next room to the chest. There will be a note on top of the chest but you may need to aim higher than you might think to get it. Read the note and head through the door behind the chest. You will pass a bunch of urns and a chest. Take what you like and then continue on. In the next area, head forward until you find a level. Flip the lever, go through the next room and then take two rights to put you on the path out of here or take a left to explore a side room. Once outside, Fast Travel to Riverwood.