The following page was copied from the following url with pictures.
I am putting it on our site in case the page is ever taken down as the pictures and information is
so very important in helping new owners from around the world.
There is very good information at the Auburn Site please check it out
 http://www.vetmed.auburn.edu/sac/mededu/diabetes/administer.html


HOW TO ADMINISTER INSULIN PROPERLY 

Improper handling or administration of insulin is one of the most common reasons why some dogs seem difficult to regulate. Below is a list of helpful hints. Coming soon we will have a video showing proper administration technique. 
Keep insulin refrigerated except when in use. The vial should be stored in a cooler with an ice pack when traveling, even for just a few hours. 
Use syringes which match the concentration of insulin used. 
To mix insulin, gently roll the vial between the palms of your hands until well mixed. DO NOT SHAKE (Coming soon -
a hyperlink to video clip #1) OR ROUGHLY AGITATE THE VIAL under any circumstances; this breaks apart the
insulin molecules and may render the insulin ineffective or at best unpredictable in its activity. 

Insert the needle into the rubber port of the insulin vial while the mixed vial is held inverted. Withdraw gently, applying
constant, even suction until a volume greater than the actual dose required is aspirated into the syringe. Still maintaining
the vial in its inverted position, depress plunger of syringe to expel any bubbles or excess insulin back into the vial until
the proper dose remains in the syringe.  If large bubbles are present in the syringe, depress the plunger and evacuate the contents gently back into the vial and  re-initiate withdrawal as above, but being more gentle and aspirating more than previously. DO NOT RIGOROUSLY  AGITATE OR CONCUSS THE SYRINGE  (Coming soon - a hyperlink to video clip #2)  IN AN EFFORT TO MAKE BUBBLES “RISE TO THE TOP” TO EVACUATE. Instead, a very gentle tap may be sufficient. If not,  depress the contents of the syringe back into the vial and begin again. It is not essential to evacuate every tiny bubble, particularly if the dose is greater than 10 units. 
Keep in mind that it may be easier and more accurate to administer smaller doses (<10 units) in smaller volume syringes  such as 1/4 cc (for 25 units or less), 1/3  cc (for 30 units or less) or 1/2 cc (for 50 units or less) syringes. It is well  documented, in fact, that marked overdoses occur when small doses (<5 units) are administered with 1 cc U-100
syringes. 
The volume of insulin drawn up should be measured from where the rubber part of the plunger contacts the insulin, not
the other side where the rubber is attached to the rest of the plunger. 

When treating the newly diagnosed diabetic pet, it is helpful to ask your veterinarian to shave several small spots
(Coming soon - a hyperlink to video clip #3) over the back so that you can actually see the needle enter the skin. This prevents  “intra-fur” (Coming soon - a hyperlink to video clip #4) or in-the-fur injections that often occur when first
learning how to administer insulin.   It is also helpful to lift, or “tent” the skin up and inject at an angle almost parallel to
the backbone into the small triangle formed by the “tent”.  It is not unusual to penetrate one side of the tented skin and go right through and out the other side of the skin, causing another “intra-fur” injection that will obviously not control blood  sugar levels. Penetrating the skin more toward the base of the “tent” will help to insure that the tip of the needle in under, and not through the skin on the other side. 



Proper Injection Technique Picture Below



Improper Injection Technique