Step 1: Understand what a Republic is. A Republic is a form of government where the country is considered a 'public matter' and is not the private concern of the rulers.
Step 2: Know that India was under British rule before it became independent.
Step 3: India gained independence from British rule on August 15, 1947.
Step 4: After gaining independence, India needed a Constitution to govern itself.
Step 5: The Constitution of India was adopted on November 26, 1949.
Step 6: The Constitution came into effect on January 26, 1950.
Step 7: On this date, India officially became a Republic.