A carbon resistor has the bands green, blue, red, gold…

Step 1. The value. The digits are $5$ and $6$, so $56$. The multiplier is $10^2$. So $R = 56 \times 10^2 = 5600\ \Omega = 5.6\ \text{k}\Omega$.

Step 2. The range. Gold is $\pm 5\ \%$, which is $0.05 \times 5.6\ \text{k}\Omega = 0.28\ \text{k}\Omega$. The value lies between $5.32\ \text{k}\Omega$ and $5.88\ \text{k}\Omega$.

Step 3. The $330\ \Omega$ resistor. $330 = 33 \times 10^1$. The digits are $3$ and $3$, so the first two bands are orange and orange. The multiplier $10^1$ is brown. Gold gives the tolerance. So: orange, orange, brown, gold.