Divide 5a^2 + 6a - 9 Into 25a^4 + 19a^2 - A - 78. And Place Powers Of A In Descending Order?

.   5a²  - 6a  +  20
.   ------
. 5a² + 6a - 9  )  25a⁴ +   19a² -   a  -  78
.   - ( 25a⁴ + 30a³ - 45a²)
.   ------
.   - 30a³ + 64a²  -   a
.   - ( - 30a³ -  36a² + 54a )
.   ------
.   100a²  -   55a  - 78
.   - ( 100a² + 120a -180 )
.   ------
.   With a remainder of   - 175a +102