Here is how Vera says you can memorize quotations, whether from the Bible or other sources:
The easiest was is to first decide what kind of situation you want to USE the info later. Then code that kind of situation (be it tests, smart conversation, speeches, etc.) with the IDEA of the whole passage. What is it about? Who says what to whom and why?
Why do you want want to be able to quote it? You realize, that this brain-friendly THINKING AND PLANNING is the preparation which CREATES NEURAL CONNECTION between the FUTURE situation and the text.
Then, as a final step, we learn the text itself, for instance working by backward, or stringing all nouns (like pearls on a neclace), or making a mental image of this "story line". If you like listening, speak the quotes on tape and listen to the tape multiple times PASSIVELY (softly while doing other things, like the background noise in a restaurant where you HEAR what people at neignboring tables are speaking without really listening, because you are reading, writing, watching tv etc.) This is especially effective when words need to be spoken again later (e.g. in a speech or while in a debate).
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I had to memorize a 10-minute-ish text recently word for word. I recorded it and played the tape passively in the background for six or so times. Then I played it and followed along with the text speaking at the same time with the voice. I did this a few times.
Then I did not use the text and listened to the tape, speaking a beat off from the tape. After a few times like that I spoke it without the tape or without the text. It took me a couple of times through with a little cheating, but I had the piece memorized.