Go to your profile (icon in the bottom right corner). Next press the settings button in the top right hand corner of the screen, it's blue. Scroll down to the bottom of the menu and press the log out button.
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To log out of Instagram, click on the settings option. Scroll down to the "Log Out" option and select it.
Go to your profile, in the upper right hand corner you will see 3 dots. Select that and you should see a option to log out of your account.
To log out of Instagram on your computer, click on your username in the upper-right corner and click "Log Out" from the drop-down menu.