Can you divide 2 polynomials with Real coeffs.   eg 1.87x³-2x²+5.789x- 3,2 by    1.5 x²+2x-1.4 to get the quotient and remainder? If so how?

I have these as outputs from comparing the coefficients. How do i assign the g_2xyz totheir associated numbers.

eg at present g₂₀₀₀ is g_{2000. I need it to be 1.2e7. And so on down the list.}

I have a 6 x 6 matrix. I want to employ Cramer's rule to solve Gx=Θ. I need to sequently substitute column Vector Θ into the matrix columns. I can't get this to work. I have only being using Maple for a couple of weeks so still finding my way.

I have a set of multi variate polynomial  equations. I need to setup a matrix [G][x]=[Θ]  Θ is a function of c₁ and c₂ up to 4th order terms

 My problem x=[c₁⁵, c₁⁴c_{2 ,} c₁³c₂² , c₁²c₂³ , c₁c₂⁴ , c₂⁵ ] these 6 5th order terms...

Thank you Your more general solution works very well. I am very new to maple so still struggling with basics.

How would I get maple to display each part of the output on a line, i.e. A,B,C,D prints on seperate lines.