Simply replace the unfilled areas such as "" and "[date]" with your information.
Dear [name of insurer],
I'm seeking a free quote for new car insurance. I'm currently with [name of insurer] and am paying [amount] per month.
My vehicle is as follows: [make, model and year of vehicle].
You can reach me by phone at [number] or by email at [email address].
Thank you for your attention in this regard.