Understanding the Division Algorithm
The Division Algorithm
The Division Algorithm: a = bq + r
where:
a = dividend
b = divisor
q = quotient
r = remainder with 0 less than or equal to r less than b
Understanding the Division Algorithm
Objective: Learn how the Division Algorithm expresses a dividend as the product of a divisor and quotient plus a remainder.
Example
22 / 5
Dividend (a) = 22
Divisor (b) = 5
Quotient (q) = 4
Remainder (r) = 2
22 = 5 (4) + 2
Multiple Choice Question
Use the division Algorithm, what is the remainder when 23 is divided by 4?
Explanation: 23 = 4(5) + 3
The quotient is 5 and the remainder is 3. Therefore, C is the correct answer
This applet explains the Division algorithm by showing how a number can be divided into a quotient and a remainder. A worked example and a practice question is included to help students understand how the Division Algorithm works.
Classroom use: Students can use the activity to learn and practice the Division Algorithm. They can look at the example firs, solve the practice question, then check the explanation to see if they got the correct answer. This helps build their confidence.