Singular

Hello,

I have 3 homogeneous polynomials f, g, h and I have the ideal quotient (colon) K = I:J where I and J are ideals: I = (f, g), J=(h).
I have also the homogeneous polynomial k of minimal degree from ideal quotient K.
From the definition of the ideal quotient, there must be 2 polynomials f_1, g_1 and so we have:
h * k = f * f_1 + g * g_1.
How can I find these two polynomials f_1 and g_1 with Singular?

Thanks in advance

see http://www.singular.uni-kl.de/Manual/4-0-3/sing_334.htm