When you start Eagle the Control Panel should pop up.

To create a new schematic go to File -> New -> Schematic

Go to the Control Panel. Expand Libraries -> discrete.lbr -> RESUS-5. The library folders are organized by functionality and by manufacturer. Some symbols may be European and some may be US. RESUS-5 is the US symbol for a resistor.

When  RESUS-5 is selected two figures will appear. The figure on the left is how the resistor will look in the schematic view and the figure on the right is how the resistor will look on the board layout.

When selecting a component in a library you may notice one of two symbols next to the name of the part. A parts symbol means that Eagle provides both the schematic and layout for that part. The other symbol is a layout symbol which means that you need to make this component.

Select ADD then left-click (on mouse) to place the part. Another window may pop up, just select Cancel. Press escape (Esc)  to exit out of the mode.

Set the name of the resistor by choosing the Name button . Set the value of the resistor to 10k with the Value button .

To move the part you can select the Move button .

To rotate the part you can select the Rotate button and click on the object you wish to rotate.

Go to the Control Panel. Expand Libraries -> discrete.lbr -> CAP-5.

Then add the capacitor and label it with 0.1uF as in step 3)

Go to the Control Panel. Expand Libraries -> supply1.lbr -> GNDA.

Then add the ground as in step 3)

Go to the Control Panel. Expand Libraries -> solpad.lbr -> LSP11.

Then add the I/Os as in step 3)

Arrange the components using the move and rotate buttons.

Here is a image before the circuit is connected

To connect the components use the Wire button . Hit the escape key to get out of the wire mode. To create an explicit junction use the Junction button .

Here is an image of the circuit wired up in the schematic.

To switch to board mode you must select the Board button . A warning window might pop up saying the board does not exist and then it will ask you to "Create from schematic?". Select Yes.

A new window should pop up with your circuit on the left and a square on the right. The circuit will not look the exact same as the schematic, but it should be electrically equivalent.

Arrange the circuit components on the board how ever you wish. This can be done by using the move button (in board mode) and selecting each component and dragging it to within the board boundaries. You can GROUP COMPONENTS too (see How do I... section below).

Re-size the board by using the move button to move the (white) lines on the bounding box. Try to leave the left-most lines alone because they are aligned with the origin. Otherwise, you can shape the board any way you like (or of course you can just cut it out).

The yellow lines are not actual connections they represent logical connections.

Select the Ratsnest button to set wires as shortest signal relation between two points. also tells you how many connections have not been routed

Routing by hand: to route components by hand select the Route button . Then follow the yellow line connecting the components you wish to route together. The routing lines will match Eagle's layer color.

To remove a route select the Ripup button and then select the line segments you wish to remove. To remove all routes select the Ripup button then select the GO button .

Autoroute:  to have the computer attempt to route for you select the Auto button . Using the menus you can set the costs to give  bias to the layers, vias, etc.

To setup the width, clearance, etc of your wires and components select the Drc button . Browse through the menus and change the settings to your preferences. Then once you select OK a box called Drc Errors might pop-up showing you where all your design rules have been violated on your board.

Once you have finished routing your board then you can do a number of things. For example, printing (etching) your board with a Modela.

You can place the file.lbr in the lbr directory of Eagle.

Or if you go to Options-> Directories put the cursor in libraries, and choose browse and locate the file folder with your fab library. now the library is in the control panel. you can have multiple locations for the libraries.

Or when you are in schematic view, up top there is a library menu option.
Do a library->use
then open the library that you have downloaded. the library should  then be available for you to use. the one caveat is that it won't show
up in the control panel (if somebody can figure out why, please let me know!) -- what you will have to do instead is when in schematic mode,
use the "add" button. that button is located next to the "x" or delete button. when you click on that, you'll see a whole load of libraries,
and one of those libraries should be the fab library. in there should be all the parts you need.

To delete, click on the (X-button) Delete button then click on the object you want to delete.

To group, Edit -> Group then create a window around the objects you wish to group. To move (or any other option)  the group select the Move Button and right-click the group you wish to move. Then move it.

In board mode go to File ->Export->Image. Then you can specify the resolution, the image file type, and where to save the file.

File->New->Library
Right click part to add to library (a part similar to the part you want to make) and click copy to library

To rename, click library->rename and type in the old name of the part and press enter.Then type in the new name of the part and press enter.

to check the newly added part and change pin definitions, double click the text under package with the green check mark next to it. Then disconnect and reconnect pins accordingly.