Division

Advanced Math 4 · Unit 5 · long-division-remainders · Teacher edition

long-division-remainders

Name ______________________________Date ______________

1.
Divide $2{,}350$ by $6$ . Enter the remainder only.
Answer: ______________
2.
Six friends share $27$ pancakes equally, cutting pancakes when they need to. How many pancakes does each friend get? Enter a fraction or mixed number.
Answer: ______________
3.
A camp has $236$ children. Each van carries $9$ children. What is the least number of vans needed so that every child has a seat?
1. (A)
  $2$
2. (B)
  $26$
3. (C)
  $26 \text{ R } 2$
4. (D)
  $28$
5. (E)
  $27$

Answer key — Division

1.
4long-division-remainders-01
$2{,}350 \div 6 = 391$ remainder $4$ , because $6 \times 391 = 2{,}346$ and $2{,}350 - 2{,}346 = 4$ . The remainder is $\mathbf{4}$ .
2.
9/2long-division-remainders-02
$27 \div 6 = 4$ R $3$ . The $3$ leftover pancakes are split six ways: $\frac{3}{6} = \frac{1}{2}$ each. So each friend gets $4\frac{1}{2} = \mathbf{\frac{9}{2}}$ pancakes.
3.
(E)
$27$
long-division-remainders-03
$236 \div 9 = 26$ R $2$ . Twenty-six vans leave $2$ children behind, so one more van is needed: $\mathbf{27}$ vans. ( $26$ ignores the leftover children; $26 \text{ R } 2$ is a division result, not a number of vans; $2$ is the remainder; $28$ adds one van too many.)