EXHIBIT 23.1 INDEPENDENT AUDITORS' CONSENT We consent to the incorporation by reference in Registration Statement Numbers 333-99481, 333-99353, 333-40631, 333-86164 and 333-77573 on Form S-8, Registration Statement Number 333-87999 on Form S-3 and Post Effective Amendment No. 1 to Registration Statement 333-88632 on Form S-3 to Form S-4 of Ameritrade Holding Corporation of our report dated October 24, 2002, appearing in this Annual Report on Form 10-K of Ameritrade Holding Corporation for the year ended September 27, 2002. /s/ Deloitte & Touche LLP Omaha, Nebraska December 11, 2002