Dividend, divisor, quotient and remainder, the long division steps (divide, multiply, subtract, bring down), zeros in the quotient, two-digit divisors and checking your answer.
The parts of a division
Share \(17\) cookies among \(5\) friends: each gets \(3\) and \(2\) are left over.
\[17 \div 5 = 3 \text{ R } 2\]
You can divide by any number except zero: no number times \(0\) gives, say, \(5\), so \(5 \div 0\) is undefined.
The long division steps
For bigger numbers, work through the dividend one digit at a time from the left, repeating four steps.
Zeros in the quotient
Two-digit divisors
The steps are the same; rounding the divisor helps you guess each quotient digit.
Interpreting the remainder
In word problems, think about what the remainder means. \(130\) students going on a trip in buses that hold \(40\):\(130 \div 40 = 3 \text{ R } 10\). You need \(4\) buses, because \(10\) students can't be left behind.
Practice
Quick check
What is \(47 \div 6\)?
\(7 \times 6 = 42\) and \(47 - 42 = 5\), which is less than \(6\).
Quick check
In a division with a remainder, the remainder must be:
If it were as big as the divisor, the divisor would fit one more time.
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