So we are gonna to divide, x to the third plus five x minus four by x squared minus x plus 1 and just to see the different ways we can rewrite this, we could rewrite this as , x to the third plus five x minus four divided by x squared minus x plus 1 or may be the best way to write in this circumstance is we are going to write algebric long division is to write it as x squared minus x plus one divided into x to the third plus and actually I am going to leave some blank spaces we dont have an x degree an x squared term but I am gonna leave some space for it just so that we can align everything in the proper space when we actually do the division so, x to the third plus nothing to the x squared power plus five x minus four so we have a place for the third power, the second power, the first power and the zero'th power, so now lets do a little bit of algebraic long division 