Laurel Designs has $1,100$ shares of $7\%,$$$50$ par value cumulative preferred stock issued at the beginning of $2022$ All remaining shares are common stock. Due to cash flow difficulties, the company was not able to pay dividends in $2022$ or $2023.$ The company plans to pay total dividends of $$13,000$ in $2024.$ How much of the $$13,000$ dividend will be paid to preferred stockholders and how much will be paid to common stockholders?

$\backslash$table$[[$Preferred dividends in arrears for $2022$ and $2023],[$Preferred dividends for $2024],[$Remaining dividends to common stockholders$],[$Total dividends$]]$