Zensei Akuyaku datta Reijou ga, Hikikomori no Choukyou wo Makasaremashita

The beautiful lady, Louise, has memories from her past lives. And there are 7 peoples' worth of lives (moreover the villain’s role). Louise, who has always met the bad end of getting stabbed to death, has decided that she will live this life peacefully. However, Louise has been assigned as Prince Emile's instructor! And so, she struggles with teaching the extremely shy prince who shuts himself up in his room. In her 8th reincarnated life, she will do anything for a happy ending!
(Source: Flex Comics, translated)