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Contents Index Dark Mode Prev Up Next \(\newcommand{\mylongdiv}[2]{#1\,\enclose{longdiv}{#2}}
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Chapter 3 Division
Objectives
Compute quotients and remainders using the division algorithm.
Recognize the division algorithm and algorithms that compute only the quotients or remainders.
Compute quotients and remainders of larger numbers using a calculator.
Apply properties of the operation
\(\fmod\text{.}\)
Apply the operation
\(\fmod\) in real world problems.
Apply the operation
\(\fmod\) in the validation of ISBN numbers.
Division answers the question
How often does a natural number
\(b\) go into another natural number
\(a\) ?
The answer to this question is called the
quotient of the division of
\(a\) by
\(b\text{.}\) We often use
\(q\) for the quotient. In this course, we work only with integers, so
\(q\) must also be an integer.
