2x+7 is on the outside and 2x^4+21x^3+35x^2-37x+46 is inside the division sign.

We carry out long division:

First, we multiply 2x + 7 by x³ to obtain 2x⁴ + 7x³ and subtract this from the original to get the remainder:
14x³ + 35x² - 37x + 46
Now, we repeat this process and keep the numbers we multiply by and then add them in the end:
Multiply by 7x², remainder:
28x² - 37x + 46
Multiply by 14x, remainder:
-135x + 46
Multiply by -67.5, remainder:
326.5

The answer is x³ + 7x² + 14x - 67.5 with a remainder of 326.5