On what grounds is a divorce ok, any? Divorce is complicated and Hashem has a plan with the marriage between a man and a woman.
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one should not divorce his first wife unless he found her cheating. hagah: Aside from this, the rabbis said: "if someone divorces his first wife, the alter cries tears upon him". This is specifically talking in their days (time of the talmud), when they frequently divorced a woman even against her will (this is when the alter cries). but if she consents it is permitted. You should try to not rush into divorcing your first wife, but the second wife, if you dislike her, you can divorce her.
a woman who is evil in her opinions (i.e immodest and promiscuous) and is not modest like jewish daughters are supposed to be, it is a positive commandment to divorce her.
If a man married a woman and stayed with her for ten years and did not produce children, he must divorce her and give her Ketubah, or marry another woman who can bear children. If he is unwilling, we force him to divorce. If he said, "I will not have intercourse with her. I will live with her with witnesses so that I will not be secluded with her." Whether she said this, or he said it, we do not listen; instead we require him to divorce or marry a child bearing woman. Rem"a: Some authorities say that this is true if they had no children at all. If, however, she birthed a viable child, even though he has not yet fulfilled obligation to be fruitful, we do not force him to divorce her. See (Shulchan Arukh, Even HaEzer 1), that these days we never force a divorce. A man is believed to say that he knows himself to be sterile, and we do not force him to marry a woman.
The wife's grounds (it might be better that women should not read this)
Hashem has a plan...
מועד קטן יח, ב
אמר רב משום רבי ראובן בן אצטרובלי מן התורה ומן הנביאים ומן הכתובים מה' אישה לאיש. מהתורה דכתיב (בראשית כד, נ), וַיַּעַן לָבָן וּבְתוּאֵל וַיֹּאמְרוּ מֵה' יָצָא הַדָּבָר. מן הנביאים דכתיב (שופטים יד, ד), וְאָבִיו וְאִמּוֹ לֹא יָדְעוּ כִּי מֵה' הִיא. מן הכתובים (משלי יט, יד), בַּיִת וָהוֹן נַחֲלַת אָבוֹת וּמֵה' אישה מַשְׂכָּלֶת
Mo'ed Katan 18b
Thus said Rab in the name of R. Reuben b. Estrobile, from the Torah, (26) from the Prophets and from the Hagiographa it may be shown that a woman is [destined to] a man by God. From the Torah: Then Laban and Bethuel answered and said, The thing proceedeth from the Lord. (27) But his [Samson's] father and mother knew not that it was of the Lord. (28) From the Prophets: And from the Hagiographa: House and riches are the inheritance of fathers, but a prudent wife is from the Lord. (29)
(26) The Pentateuch. (27) Gen. XXIV, 50. (28) Judg. XIV,4. (29) Prov. XIX, 14.
Hashem is the Shadchan בראשית רבה סח ג-ד
First of all divorce is a mitzvah which can found in Devarim 24:1-4 The reasons for divorce are discussed in meseches gittin 90b
As far as a divine plan for marriage this is in the beginning of Sotah where it says one's spouse is predetermined before you are born.