Title

College Algebra
Tutorial 36:Long Division

 *Write in descending order

 Note that the "scratch work" that you see at the right of the long division shows you how that step is filled in.  It shows you the "behind the scenes" of how each part comes about.

 Scratch work:

 Scratch work:

 Scratch work:

 Step 5:  Repeat until done.

 We keep going until we can not divide anymore.  We just follow the the same steps 2 - 4 as shown above.  Our "new dividend" is always going to be the last line that was found in step 4.

 AND

 AND

 Step 4 (repeated): Subtract this from the line above.

 The following is the scratch work (or behind the scenes if you will) for the rest of the problem.  You can see everything put together following the scratch work under "putting it all together".  This is just to show you how the different pieces came about in the final answer.  When you work a problem like this, you don't necessarily have to write it out like this.  You can have it look like the final product shown after this scratch work.

 Scratch work for steps 2, 3, and 4 for the last two terms of the quotient 2nd term:   3rd term:

 Putting it all together: Note that each second line is SUBTRACTED, so the line shows what the signs of each term would be when you subtract it.

 *Quotient with a remainder of -32

 *Write in descending order *Insert 0's for missing terms

 Note that the "scratch work" that you see at the right of the long division shows you how that step is filled in.  It shows you the "behind the scenes" of how each part comes about.

 Scratch work:

 Scratch work:

 Scratch work:

 Step 5:  Repeat until done.

 We keep going until we can not divide anymore.  We just follow the the same steps 2 - 4 as shown above.  Our "new dividend" is always going to be the last line that was found in step 4.

 AND

 AND

 Step 4 (repeated): Subtract this from the line above.

 The following is the scratch work (or behind the scenes if you will) for the rest of the problem.  You can see everything put together following the scratch work under "putting it all together".  This is just to show you how the different pieces came about in the final answer.  When you work a problem like this, you don't necessarily have to write it out like this.  You can have it look like the final product shown after this scratch work.

 Scratch work for steps 2, 3, and 4 for the last three terms of the quotient 2nd term:   3rd term:   4th term:

 Putting it all together: Note that each second line is SUBTRACTED, so the line shows what the signs of each term would be when you subtract it.

 *Quotient with no remainder

Last revised on March 15, 2010 by Kim Seward.