After Reincarnating as a Cast-Off Farmer’s Wife, I Rose to the Top by Raising Children

After dying suddenly and transmigrating, she finds herself with a violent mama's boy for a husband and a monstrous mother-in-law, so she gets a divorce at lightning speed. She remarries a widower with a child, raises pigs, cows, cats, dogs, and children, farms, opens a school for girls, and becomes a landowning matriarch. There is no emperor or prince, and no bizarre backstory. The highest-ranking official is the county magistrate. The most successful child passes the provincial examination in last place.