#color(white)(.)color(white)(..........)ul(1/2x+1/12)#
#6x+1|3x^2+0+x-10#
#color(white)(.............)ul(3x^2+0+1/2x)#
#color(white)(...........................)1/2x-10#
#color(white)(...........................)ul(1/2x+1/12)#
#color(white)(..................................)-10 1/12#
#color(magenta)((3x^2+x-10) / (6x+1) = 1/2x+1/12# and remainder of#color(magenta)((-10 1/12)/(6x+1)#