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Search the Podcast Player app on Google Play, and tap the green INSTALL button to download it. Podcast Player is a free, third-party app that allows you to download and listen to podcasts. The Podcast Player icon looks like a white radio tower in a purple circle. You can find it on your Apps menu. When you first open the app, you'll be prompted to select categories and topics that interest you. Tap a topic here to select it. You have to select at least 3 interest topics here. If you see more topics that interest you, feel free to choose more. This will confirm your interest topics, and recommend you some podcasts based on your interests. This will skip the recommendations page, and open the Podcasts home page. Alternatively, you can tap the "+" sign next to a podcast recommendation here to follow it. Find an interesting podcast, and tap on its name or icon to see a list of episodes. The Podcasts page opens up to the FEATURED tab. You can browse other podcasts by switching to one of the TRENDING, CATEGORIES, or NETWORKS tabs at the top. This is a purple button at the top of the episodes list. It will subscribe you to the selected podcast. This will open the selected episode's details on a pop-up panel. This button is on the right-hand side of your screen. It will start playing the selected episode.
Download the Podcast Player app from the Play Store. Open the Podcast Player app on your Android. Select your topics of interest. Tap the Next button. Tap SKIP on the top-right. Tap a podcast on the Podcasts page. Tap the Subscribe button. Scroll down and tap an episode. Tap the  button.