Jomon Division

Example The author considers 6 / 2 = 3. Figure 1 shows 6 / 2 = 3. Six represents six points. Two represents the number of subtractions. Three represents the number of points. 1. The author gets the six points. 2. The author subtracts the three points from the six points. 3. The author gets the three points. 4. The author subtracts the three points from the three points. 5. The author gets the zero points. The author subtracts points from the zeroth result so that the number of remaining points becomes smaller than the number of subtractions when the author subtracts the given number of times. The number of the points is the answer to the division. The author rewrites the list as two sentences. 6. The author subtracts the three points from the first result, where the author subtracts the three points from the zeroth result. The author rewrites the subtractions as divisions. 7. The author divides the six points by two. Generalization There exists a division x0 / x1 / … / x(n-1) / xn. 1. The author divides the (n-1)th result by xn, where the author divides the (n-2)th result by x(n-1), …, where the author divides the zeroth result by x1. The zeroth result is x0 points. Definition The author defines division by subtraction which has already been defined. The x of x points is the number of points to subtract. Definition 1. A division of m points by n is an action where the author subtracts x points from the (n-1)th result, where the author subtracts x points from the (n-2)th result, …, where the author subtracts x points from the first result, where the author subtracts x points from the m points so that the number of remaining points becomes smaller than n after the author subtracts n times. The author calls the x points a quotient. The author calls the nth result a remainder.