30 Part 1: The World of Numbers
738 z 9 = 82. You can drop that zero in the front, and in the future, you can just leave a blank
space if the first digit in the quotient is a zero. Don’t drop any zeros that come later, though.
They’re important place holders.
Long division doesn’t always work out to be as tidy as that last example. Sometimes you’ll get
to the end of the dividend, with nothing left to bring down, but you’ll have something left over.
For example, if you divide 49 z 6, you’ll get a quotient of 8, but there will be 1 left over, because
6 v 8 is only 48. The leftover 1 is called the remainder. For now, just say you have a remainder.
Later on, you’ll see other ways to handle it.DEFINITION
A remainder is the number left over at the end of a division problem. It’s the
difference between the dividend and the product of the divisor and quotient.Try a few problems to be sure you’ve mastered the algorithm.CHECK POINT
Use the long division algorithm to find each quotient.- 4,578 z 42
- 3,496 z 19
- 16,617 z 29
29. 681 z 14
30. 1,951 z 35
The Least You Need to Know
- Addition and subtraction are inverse operations, as are multiplication and
division. - Compatible numbers are number pairs that add up to ten. Looking for compatible
numbers when adding and subtracting can allow you to complete the operation
more quickly. - When performing operations with multi-digit numbers, keep the place value
columns aligned. - The long division algorithm is a process that allows you to divide large numbers.
To use this algorithm, remember: divide, multiply, subtract, compare, bring down,
and repeat.