Is it permissible for the husband to travel with his (other) wife for a long period for work without compensating the other wife, and does the dissatisfied wife have the right to seek a divorce?

The husband must compensate his resident wife for the days he traveled with his second wife if his travel was for the need of the second wife. However, if he traveled for his own need and cast lots among his wives, and the lot fell on one of them, then he is not obliged to make up that period for the one who remained behind. What has been mentioned is not considered a legitimate reason for requesting a divorce, because a woman's request for divorce without an excuse is considered a major sin.