Final answer:
In 64-bit division using the DIV instruction in x86-64 architecture, the quotient is stored in the RAX register and the remainder in the RDX register.
Step-by-step explanation:
When using the DIV instruction and a 64-bit divisor, the quotient is stored in RAX (Accumulator Register) and the remainder in RDX (Remainder Register).
In Assembly language programming, specifically when using x86-64 architecture, the DIV instruction is used for unsigned integer division. The result of the division is split into two parts: the quotient and the remainder. For a 64-bit division, the dividend (128-bit value) is expected to be in the RDX:RAX pair, with the high-order 64-bits in the RDX register and the low-order 64-bits in the RAX register. After the execution of the DIV instruction, the quotient is placed in the RAX register and the remainder is placed into the RDX register.