Chapter 6

Divided We Stand

Division is the most interesting and complex of the Big Four operations (addition, subtraction, multiplication, and division). When you divide two numbers, you divide the dividend by the divisor, and the result is the quotient. For example:

Dividend

Divisor

Quotient

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8

=

3

Integer division — that is, division with whole numbers only — always results in a remainder (which may be 0).

Dividend

Divisor

Quotient

Remainder

26

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8

=

3

r2

The remainder is a whole number from 0 to one less than the number you’re dividing by. For example, when you divide any number by 8, the remainder must be a whole number from 0 to 7, inclusive.

The Problems You’ll Work On

This chapter focuses on the following concepts and skills:

check.png Understanding integer division — that is, division with a remainder

check.png Knowing some quick rules for divisibility

check.png Finding the remainder to a division problem without dividing

Distinguishing prime numbers ...

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