You can use many different strategies to find the answer to a division
problem. One strategy is to use repeated subtraction. To find 123 ÷ 36,
think: How many groups of 36 are there in 123? Start with 123. Subtract
36 repeatedly. Count how many times you subtracted: 123 − 36 = 87 (1); 87 − 36 = 51 (2); 51 − 36 = 15 (3); 15 < 36. There are 3 groups of 36 in 123 with 15 left over. Therefore, 123 ÷ 36 = 3 R15.
Multiplying 5 with this period leads to 5*(2pi/5) = 2pi; showing that 5 full cycles occupy a total horizontal width of 2pi units (more specifically stretching from 0 to 2pi).
