请教C语言编程中计算还贷后剩余的贷款金额的详细答案, 最好能够说明一下每个步骤!

编程计算第一、第二、第三个月还贷后剩余的贷款金额，输出时保留两位小数：

Enter amount of loan: 20000.00
Enter interest rate: 6.0
Enter monthly payment: 386.66

Balance remaining after first payment: 19713.34
Balance remaining after second payment: 19425.25
Balance remaining after third payment: 19135.71

提示：每个月的贷款余额减去还款金额后，还需要加上贷款余额与月利率的乘积即利息。
把用户输入的年利率转换成百分数后再除以12就是月利率。

谢谢！

#include 

int main()
{
  double loan,rate,payment;
  double remain;
  printf("please enter loan:");
  scanf("%f",&loan);
  printf("please  enter rate:");
  scanf("%f",&rate);
  printf("please enter payment:");
  scanf("%f",&payment);
  for(int i=1;i<=3;i++)
  {
    loan=loan*(1+rate/12/6/100)-payment;
    printf("after %d month,loan is %8.2f\n",i,loan);
  }
  return 0;
}

#include  int main(void){     float amount,rate,payment,month_rate,tmp1,tmp2,tmp3;     printf("Enter amount of lean:");     scanf("%f",&amount);     printf("Enter interest rate:");     scanf("%f",&rate);     printf("Enter monthly payment:");     scanf("%f",&payment);     month_rate = rate / 100.0f / 12.0f;     tmp1 = (amount-payment)+amount*month_rate;     tmp2 = (tmp1-payment)+tmp1*month_rate;     tmp3 = (tmp2-payment)+tmp2*month_rate;     printf("Balance remaining after first payment:%.2f\n",tmp1);     printf("Balance remaining after second payment:%.2f\n",tmp2);     printf("Balance remaining after third payment:%.2f\n",tmp3); }这是我的答案，我觉得最佳答案对于学习第一章的朋友并不是很友好。