Does divorce take effect if the husband utters the words "you are divorced" three times by way of explanation and instruction, and not with the intention of divorcing his wife?

Uttering explicit divorce for the purpose of study and teaching does not lead to the occurrence of divorce, because among the conditions for divorce to occur is the intention of its wording and meaning. Thus, divorce does not occur for a jurist who repeats the لفظ (wording) for teaching, or narrates on his own behalf or on behalf of others, because he did not intend the meaning of divorce, but rather teaching or narration. Consequently, your divorce did not occur based on what you mentioned.