A loan of $814,000$ is to be repaid in $20$ years by month$-$end repayments starting in one month. The interest rate is $8\mathrm{.}3\%$ p$.$a$.$ compounded monthly. Calculate the principal paid in Year $6.($between the end of month $60$ and the end of month $72).$ Correct your answer to the nearest cent without any units. $($Do not use $"$$$"$ or $","$ in your answer. e$.$g$.12345\mathrm{.}67)($Hint: you can use Excel to find the answer.$)$