Sun Zi's Mathematical Classic

The Tradition of... original: 傳...; the text is partially cut off but likely refers to the transmission of mathematical methods.

The method|original: 術; shù states: Set the positions again. Use the upper position|original: 上位; shàng wèi 8 to call to the lower position|original: 下位; xià wèi 8: "eight times eight is sixty-four." Then, place 6,400 in the middle position|original: 中位; zhōng wèi. The text describes multiplying the tens places first: $80 \times 80 = 6,400$.
Use the upper 8 to call to the lower 1: "one times eight is eight." Then, place 80 in the middle position. Shift|original: 退; tuì the lower position back by one place. This step calculates $80 \times 1 = 80$. The "shift" aligns the next decimal place on the counting board.
Clear|original: 收; shōu the upper 80. Use the upper 1 to call to the lower 8: "one times eight is eight." Then, place 80 in the middle position. This calculates $1 \times 80 = 80$.
Use the upper 1 to call to the lower 1: "one times one is one." Then, place 1 in the middle position. When the upper and lower positions are both cleared, the middle position yields:
Six thousand five hundred and sixty-one.

If six thousand five hundred and sixty-one is divided|original: 分之; fēn zhī among nine people, how much does each person receive?
The answer is: Seven hundred and twenty-nine. Mathematically, $6561 \div 9 = 729$. This effectively returns to $81 \times 9$, as the problem began with $81 \times 81$.