Italian Method - RosemaryGeorges/Group-Wiki-Project-3 GitHub Wiki

The Italian Method In Italy, Filippo Calandri first brought up this method in a 1491 on the topic of arithmetic. This is where he also reflects on its nickname, chosen by Cataneo in 1546, "a danda" which means giving. He explains that through this process, after each subtraction, a figure is "given" to the remainder. In 1597, after about one hundred years a geometry professor at Gresham college in London, England turned this method into long division.

The image above displays the original lay out of the Italian Method and breifly describes its process.

Most may be slightly familiar with this way of writing division; however, as one can view in the figure below the quotient was not always on top of the dividend. It wasn't until Brigs moved it from the right side in the late 16th century that it the we see the form we use today. He did this in order to allow for the resulting decimals, or remainder, from calculations.

The image above represents the Brigs' modified version as not all division problems result in an integer.

The Process

Step 1: Take the first digit of the dividend from the left. Look to see if this digit is equal tp or greater than the divisor.

Step 2: Next, divide it by the divisor and place the answer at the top as the quotient.

Step 3: Then, subtract the result from the digit and write the difference below.

Step 4: Now, from the dividend, bring down the next digit (if present).

Step 5: Repeat the same process.

Citations:

Long division - steps: Method: How to do long division? Cuemath. (n.d.). Retrieved October 17, 2022, from https://www.cuemath.com/numbers/long-division/

Long division calculator. long division calculator. (n.d.). Retrieved October 16, 2022, from https://www.longdivision-calculator.com/

Windsor, W., & Booker, G. (1970, January 1). An historical analysis of the division concept and algorithm can provide insights for improved teaching of division: Semantic scholar. undefined. Retrieved October 16, 2022, from https://www.semanticscholar.org/paper/An-Historical-Analysis-of-the- Division-Concept-and-Windsor-Booker/1fbf13e7fe8d7549a870cf1fd430af5b4d8691d4