Hi SummerQuails
Assuming that your quail is a female, here are some tips which may be useful.
In the wild, quail are monogamous, so they pair off. When they’re kept on farms, male quail may breed with 2 or 3 females. You can pair your breeding quail in 1:1, 1:2, or 1:3 male-to-female pairs.
Don’t place more than 1 male in a cage at a time. The males will fight to establish dominance and impress the females.
Paired quails will usually produce more eggs and will pay more attention to their chicks. However, you will likely have more live chicks if you breed the male with 2 or 3 females.
If you want to eat the eggs, don't put a male into the cage. Female quail will lay eggs whether or not the male is present. However, they must mate with a male to produce fertile eggs that will have chicks. You can keep as many as 5 females together at one time.
Provide your quail with 14 to 16 hours of light daily. Sunlight is best for your quail, but you can also use an artificial UV lamp. This encourages the quail to breed because they typically mate during spring and summer when the days are long.
Don’t give them more than 16 hours of light daily, as they need at least 8 hours to sleep at night.
Keep your pen at around 70 °F (21 °C) to encourage breeding. Use a heater or fan to adjust the temperature of the breeding pen. Cool or very warm temperatures will discourage the quail from mating.
Place a thermometer in the pen so you can monitor the temperature and make adjustments when necessary.
Provide your quail with straw and hay so they can nest. In nature, building a nest is part of the breeding process. Paired quail will build a nest together before they mate. Giving your quail plenty of fresh straw and hay will encourage them to build a nest and lay eggs.
Change out soiled straw and hay that isn’t used for nest building. Replace it with fresh straw and hay so the birds have a clean, comfortable environment.
If your quail successfully mates, but doesn't produce any eggs then I would suggest you add a calcium supplement. Good calcium supplements for quail include crushed oyster shells, crushed limestone, and calcium premix. Mix your chosen supplement into their feed to increase the amount of calcium in their diet. The extra calcium will encourage the quail to produce more eggs. Additionally, the eggs may be of better quality.
You can find a calcium supplement at a feed store or online.
Calcium premix is the best option for increasing healthy egg production through supplementation.
Hope these help.