5th grade · Math · Unit 3 of 14
Divide
Share, group and handle remainders
What your child practices
Dividing 2- and 3-digit numbers, finding remainders and deciding what they mean in a story (round up for buses, drop the extra for full bags), and estimating with friendly numbers.
Maine Learning Results learning standard: 5.NBT.B.6 · dividing whole numbers with up to four-digit dividends and two-digit divisors
How we explain it
Children can open this short lesson before they practice.
- Divide, multiply, subtract, bring down the next digit, and repeat.
- What is left over at the end is the remainder.
- Check by multiplying back and adding the remainder.
Example: 47 ÷ 4 = ? 4 × 11 = 44. 47 − 44 = 3 left over. So 47 ÷ 4 = 11 remainder 3. Answer: 11 remainder 3
Divide in Maine
In the Maine Learning Results, this is unit 3 of 14 in 5th grade Math, after Multiply and before Equivalent Fractions.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Maine Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What is 815 ÷ 4?
815 ÷ 4
- 203 R 3
- 204 R 3
- 203 R 4
- 202 R 7
203 R 3
Hint: Find the greatest multiple of 4 that is not more than 815. What is left over is the remainder, and it must be less than 4.
Question 2
A farm has 602 eggs to pack in cartons that hold 6 eggs each. How many cartons are needed for all the eggs?
answer box
101
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 3
What is the remainder when 443 is divided by 3?
answer box
2
Hint: Find the greatest multiple of 3 that fits into 443. Subtract it from 443; what is left is the remainder.
Question 4
Divide.
198 ÷ 3 = ?
answer box
66
Hint: Think: 3 × ? = 198. Split 198 into parts that divide easily by 3, like 180 and 18.
Question 5
Ravi has $318. Each book costs $4. How many books can Ravi buy?
answer box
79
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.
Question 6
Which is the best estimate for 727 ÷ 9?
- 800
- 80
- 8
- 160
80
Hint: Change 727 to a nearby number that divides easily by 9, like 720. Then divide the friendly number.