There are a lot of different methods that Muslims around the world use and I’ll be doing my best to publish all the ones I know here for you in-shaa Allaah.
This is what works best for me.
The first thing is to make a lot of dua all the time as without Allaah’s permission I am able to do nothing.
I try to prepare in advance by making myself familiar with what I am about to memorise. I try to read and listen to the ayaat beforehand and look at the meanings as I feel it makes it easier for me.
I take an ayah and read it (looking at mushaf) 20 times, then I move to the next ayah and read that 20 times.
When I’ve done 3 ayaat or approx 3-5 lines, then I stop and join them all together reading them at least 3 times and then trying to read it without looking.
When I can say them comfortably and at high-speed without looking then I move onto the next 3 ayaat.
Once the new 3 ayaat have been repeated 20 times each then I go back to the beginning and join all 6 ayaat together again reading them at least 3 times from the mushaf and then try to read all 6 without looking.
I continue like this until I get to the end of the page. I then try to read that whole page around 10 times or as many as I can.
The counting can confuse me so I sometimes just set a timer for 10-15 minutes and try to say it fast as many times as I can until the timer goes off.
If I can’t find someone to test me while I’m memorising then I record myself on my phone and then check it back with the mushaf.
When I’ve finished I try not to do anything that fully engages my mind like reading emails or checking news or reading a book unless they are related to the ayaat that I learned. I also try to read the page again a few hours later and then again before bed to refresh it and help it stick.
I try to review 3 juz per day but I read the same juz 3 times. Sometimes I read 3 different ajzaa.
For the times when I have an incomplete juz to review I read and repeat what I have until it is equal to a juz e.g. if I’ve memorised 5 pages of a juz then I read those 5 pages x 4 to make them equal to a juz.
I review looking at the mushaf. I was taught this is a continuation of the memorisation process and only to read without looking if I’m being tested by someone or praying with them.
While reviewing I try to read quickly and time myself to complete the juz in 30 minutes. I know for me personally if it takes me longer than that, then the juz is weak and needs to be strengthened.
If I make it in 30 min or less than that its OK.
My children’s routine is slightly different. May Allaah bless them, because of their young brains where I repeat 20 times they only repeat 3-5 times before moving onto the next ayah. They learn around 4-5 lines per day.
For preparation and informal review they listen to audios of the juz they’re learning while they play and before bed. I find this really helps them a lot maasha Allah.
For review they read 5 pages from the mushaf in the morning before breakfast.
This routine is a mystery to me as he usually does it all in the morning when he goes to the Masjid to pray fajr. He stays there until sunrise and tries to get it all done before he comes home. Maybe one day he’ll write the details in-shaa Allaah.
May Allaah accept it from us and make it easy for us.