To find the principal, we can use the formula for simple interest:
I = P*r*t
where I is the interest, P is the principal, r is the interest rate, and t is the time in years.
We need to convert 82 days to years by dividing it by 365 (the number of days in a year):
t = 82/365
t = 0.2247
Now we can plug in the values we know and solve for P:
67.14 = P*0.0625*0.2247
P = 67.14/(0.0625*0.2247)
P = 1900
Therefore, the principal is $1900.