To calculate your federal quarterly estimated tax payments, you must estimate your adjusted gross income, taxable income, taxes, deductions, and credits for the calendar year 2017. Form 1040-ES includes an Estimated Tax Worksheet to help you calculate your federal estimated tax payments.
You are required to pay quarterly taxes by the following dates:
Payment Period Due Date
January 1st - March 31st, 2017 April 18th, 2017
April 1st - May 31st, 2017 June 15th 2017
June 1st - August 31st, 2017 September 15th, 2017
September 1st - December 31st, 2017 January 16th, 2018
Keep in mind that You do not have to make the payment due on January 16, 2018, if you file your 2017 tax return by January 31, 2018 and pay the entire balance due with your return.
Reference: Self Employed Quarterly Payments