1. Convert the date to a number format:
- Extract the year (YY), month (MM), and day (DD) from the given date: YY = 30, MM = 04, DD = 06.
2. Apply Zeller's Congruence formula:
- H = (DD + (((MM + 1) * 26) / 10) + YY + (YY / 4) + (C / 4) - 2 * C) % 7
- Where C = the century (YY / 100).
3. Calculate the values:
- C = 18 (since YY = 30, so C = 30 / 100 = 0.3 = 0)
- H = (6 + ((4 + 1) * 26) / 10) + 30 + (30 / 4) + (0 / 4) - 2 * 0) % 7
- H = (6 + 13 + 30 + 7 - 0) % 7
- H = 56 % 7
- H = 1
4. Match the value of H with the corresponding day of the week:
- H = 0: Saturday
- H = 1: Sunday
- H = 2: Monday
- H = 3: Tuesday
- H = 4: Wednesday
- H = 5: Thursday
- H = 6: Friday
5. Therefore, April 6, 1830, fell on a Tuesday.