Let’s use synthetic division to find the quotient and remainder.
color(white)(aaa aaa aa aaa) 0 color(white)(aaa aa ) 1 color(white)(aaa a ) 24
color(white)(aaa aaa aa ) ———————-
color(white)(aaa ) 4 color(white)(aaa ) | color(white)(aaa ) 1 color(white)(aaaa) 20 color(white)(a aaa) 5
color(white)(aaa aaaa ) | color(white)(aa ) darr color(white)(aaa a ) 4 color(white)(aaaa) 96
color(white)(aaa aaa a) | color(white)(aaa ) ——- ——-
color(white)(aaa aaa aaa aaa ) 1 color(white)(aa aa ) 24 color(white)(aaa) 101
Quotient color(green)(x + 24), Remainder color(red)(101/(x-4))
Verification : (x + 24) * (x - 4) = x^2 + 20x -94 + 101 = x^2 + 20x + 5
