In case a directorship becomes vacant otherwise than by rotation, the board of directors shall elect a person who has a qualification and who is not disqualified under the public limited company law as replacement at the subsequent meeting of the board of directors. Unless the remaining duration of the director's term of office is less than two months, the person so appointed shall retain his office during such time only as the removing director was entitled to retain the same. The resolution of the board of directors under the foregoing paragraph shall be supported by a vote of not less than three-fourths of the remaining directors.