find and insert row to another table using mysql trigger
This should do the trick for you:

DELIMITER $$
DROP TRIGGER IF EXISTS `employee_INSERT` $$
CREATE TRIGGER `employee_INSERT` 
AFTER INSERT ON `employee`
FOR EACH ROW
BEGIN
    INSERT INTO employee_tools (Id, Tool)
    SELECT new.Id, tools.Tool_Name 
            FROM tools
            WHERE tools.Division = new.Division;
END $$
DELIMITER ;