I am new with quickbooks payroll. How can I enter last quarter's payment?

Welcome and thank you for choosing QuickBooks Online (QBO), @mikeilim.

You'll want to record prior tax payments, so you can enter the last quarter's payment. I'll guide you how:

1. Go to Taxes and select Payroll Tax.
2. Click on the Enter Prior Tax History link.
3. Choose Add Payment.
4. Select tax type and liability period (the period that the taxes were accrued) then enter: 

• Payment Date
• Check Number (optional)
• Notes (optional)
• Tax Item Amounts Click on OK once you're done.

       5. Click on OK once you're done.

For additional information, you can check this article:  Recording prior tax payments. This also provides details on how to make any changes in your prior payment.

If you see an overpayment after entering prior tax payments, refer to this article to correct this: Resolve a tax overpayment.

Post again if you have any other questions. I'm always here to help. Have a good day!