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This is common misconception about mindfulness meditation. The goal of mindfulness meditation is not to quiet mind(though this happens with practice). It's to learn how to notice when your mind is unquiet. So when you notice your mind wandering this is mindfulness. Imagine you're coding all day long, and then you have this moment where you notice that you're not paying attention to coding, but instead thinking about…
What would mindful meditation be like then? Setting aside a moment to remind yourself to notice?
A common form of meditation is focusing on your breath. This meditation is composed of two parts, trying to pay attention to breath, and noticing when your mind wanders.
Most people think the most important portion of that exercise is focusing on breath. But in truth it's the second part, the noticing.. The first part is growing your attention, but the second part is practicing your mindfulness.