Write a strong introduction that includes the quote. Explain how your quote relates to the topic you will discuss and why it is important. Mention an interesting fact about your quote--who said it, when and why. State whether or not you agree with what the quote states, and give brief reasons why. End your introduction with a question that makes your reader think critically. The rest of your paper will try to answer that question.
Summarize your argument in two to four concise paragraphs, including as much supporting evidence as possible. These paragraphs are the most important part of your essay; this is the part that should convince your reader. Dissect your quote, and explain what each of its sentences means. Build on each point you make, and save your strongest points for last. Include other quotes that might help. Mention how and why you think your original quote is relevant. Include examples or situations that apply to your original quote and topic.
Summarize the opposing argument in one or two paragraphs, including refuting evidence. Explain why you disagree with other points of view and why your reader should as well. Think of questions your reader might have as he reads, and answer those, too.
Write a strong, concise conclusion. Your conclusion should include a summary of all the key points in your essay, reminding your reader of everything you just mentioned. It is your final chance to convince your reader to agree with you. Use a memorable last line that challenges your reader and, if applicable, calls for change or action.