Result:

Quotient: x^2 + 0x + 0

Remainder: 4

Steps:

1. Divide leading term: x^3 / x = x^2
2. Multiply: x^2 * (x-2) = x^3 - 2x^2
3. Subtract: (x^3 - 2x^2 + 0x + 4) - (x^3 - 2x^2) = 0x^2 + 0x + 4
4. Bring down next term: 0x
5. Divide: 0x^2 / x = 0x
6. Multiply: 0x * (x-2) = 0x^2 - 0x
7. Subtract: (0x^2 + 0x + 4) - (0x^2 - 0x) = 0x + 4
8. Bring down 4: 0x + 4
9. Divide: 0x / x = 0
10. Multiply: 0 * (x-2) = 0
11. Subtract: (0x + 4) - 0 = 4
Quotient: x^2 + 0x + 0, Remainder: 4