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 |
||

24 |
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 |
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:

Understanding integer division — that is, division with a remainder

Knowing some quick rules for divisibility

Finding the remainder to a division problem without dividing

Distinguishing prime numbers ...