Jomon Division 2

Example 1 The author considers 4 / 2 = 2. Four represents the number of the points. Two represents the number of the first timepoints. Another two represents the number of points per first timepoint. 1. The four points and the first two timepoints exist. 2. The author makes one timepoint within each of the first two timepoints. 3. The author makes the two points within the four points. 4. The author subtracts the two points from the four points. 5. The author makes each of the two points correspond to one of the first two timepoints. 6. The author gets the one point per first timepoint. 7. The author makes the two points within the two points. 8. The author subtracts the two points from the two points. 9. The author makes each of the two points correspond to one of the first two timepoints. 10. The author gets the two points per first timepoint. Figure 3 shows two points per first timepoint. The author rewrites the list and generalizes it. 11. M points and the first N things exist. 12. The author makes one thing within each of the first N things. 13. The author makes the N points within the (n-1)th result. 14. The author subtracts the N points from the (n-1)th result. 15. The author gets the n result. 16. The author makes each of the N points correspond to one of the first N things. 17. The author repeats this operation from item 13 to 16 until the author cannot subtract the N points from remaining points. 18. The author gets L points per thing. The n increases by 1 with each repetition, starting from n=1. The zeroth result is defined as the M points. The L is equal to the number of subtractions. The author rewrites the list as one sentence, which is the definition of division of M points by the first N things. 19. The author makes each of the N points correspond to one of the first N things, which the author subtracts from the (n-1)th result, which the author makes the N points within, which the author makes each of correspond to one of the first N things, …, which the author subtracts from the first result, which the author makes the N points within, which the author makes each of correspond to one of the first N things, which the author subtracts from the zeroth result, which the author makes the N points within. The author calls the number of points per first thing a quotient. The author calls the number of remaining points a remainder, after the author subtracts N points L times. The author rewrites the sentence by division. 20. The author divides M points by the first N things. Example 2 In example 1, the author gets the two points per first timepoint. In example 2, the author divides the two points per first timepoint by the two second timepoints. The author considers 4 / 2 / 2 = 1. In example 1, the author has already done 4 / 2 = 2. In example 2, the author divides the answer by the two second timepoints. Figure 4 shows 2 / 2 = 1. The first two represents the number of the two points. The second two represents the number of the two second timepoints. The one represents the quotient, which is the number of the one point per second timepoint. Generalization The author generalizes the above sentence. There exists a division A / B1 / B2 / … / Bn. 1. The author divides the (n-1)th result by the nth Bn things, …, which the author divides the first result by the second B2, which the author divides the zeroth result by the first B1 things. The author gets the nth result. The nth result is X points per nth thing. X is a quotient. The zeroth result is A points. The zeroth B0 things is a thing that has never been used in division.