Microsoft Office 2013 is a popular productivity suite that includes applications such as Word, Excel, PowerPoint, Outlook, and more. It was released in 2013 for Windows devices, but it is not officially supported on Mac computers. However, there are some ways to use Microsoft Office 2013 for Mac for free, without paying for a subscription or a license. Here are some of them:

1. Download Microsoft Office for Mac Education Edition. If you are a student or a teacher, you may be eligible to download the education edition of Microsoft Office for Mac for free. This is because many educational institutions have paid for an educational license that can be used by their members. You can check if your school or university offers this option by visiting this page and entering your school email address. If you qualify, you will be able to download and install Microsoft Office for Mac on your device.
2. Sign up for the Microsoft Office for Mac Free Trial. Another way to use Microsoft Office 2013 for Mac for free is to sign up for a one-month free trial of Microsoft Office 365. This is the online version of Microsoft Office that works on any device with an internet connection. You can access all the features and applications of Microsoft Office 2013, as well as some additional ones, such as OneDrive, Teams, and SharePoint. To sign up for the free trial, you need to create a Microsoft account and provide a valid credit card information. You can cancel the subscription anytime before the trial ends to avoid being charged.
3. Use Office.com Online. If you don’t want to download or install anything on your Mac, you can use the web-based version of Microsoft Office at office.com. This is a free service that allows you to create and edit documents, spreadsheets, presentations, and more using your browser. You can also access your files stored on OneDrive or upload new ones from your computer. The online version of Microsoft Office has most of the features and functions of the desktop version, but it may not be compatible with some advanced formatting or macros.
4. Use a Microsoft Home Plan Invite. If you know someone who has a Microsoft 365 Family or Personal subscription, you can ask them to invite you to join their plan. This way, you can use Microsoft Office 2013 for Mac for free as long as they keep their subscription active. A Microsoft 365 Family plan allows up to six people to share the benefits of Microsoft Office, while a Personal plan allows only one person. To join a plan, you need to accept the invitation sent by the subscriber and sign in with your own Microsoft account.
5. Use Microsoft Office on iOS for Free. If you have an iPhone or an iPad, you can download and use the mobile versions of Microsoft Office apps for free. These apps include Word, Excel, PowerPoint, Outlook, OneNote, and more. They are optimized for touch screens and small devices, but they still offer many of the features and functions of the desktop version. You can create and edit documents on the go, sync them with OneDrive or iCloud, and share them with others. To use these apps, you need to sign in with a free Microsoft account.

These are some of the ways to use Microsoft Office 2013 for Mac for free. However, keep in mind that these methods may have some limitations or drawbacks compared to using a licensed version of Microsoft Office. For example, you may not be able to access some advanced features or updates, you may encounter compatibility issues with some file formats or devices, or you may risk violating the terms of service or intellectual property rights of Microsoft. Therefore, if you want to use Microsoft Office 2013 for Mac without any restrictions or risks, it is recommended that you purchase a copy from the official website or store.