Non-resident Indians can avoid double taxation by using Double Taxation Avoidance Agreements (DTAAs) between India and other countries. DTAAs provide relief from double taxation through exemption, deduction, or credit methods. To use a DTAA, an individual must submit documents like a tax residency certificate and PAN to claim exemptions or credits. Key steps include checking the applicable DTAA, submitting required documents, and considering details like applicable tax rates and ensuring PAN is updated with banks.