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.
Alaska content standards learning standard: 5.NBT.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 Alaska
In the Alaska content standards, 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: Alaska Department of Education and Early Development
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
A 9-day bike trip covers 693 km, with the same distance each day. How many kilometers is that per day?
answer box
77
Hint: Sharing equally means divide by 9. Split 693 into parts that are easy to share, then add the shares.
Question 2
802 people are coming to a banquet. Each table seats 6. How many tables are needed so everyone has a seat?
answer box
134
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 362 ÷ 4?
362 ÷ 4
- 89 R 6
- 90
- 91 R 2
- 90 R 2
90 R 2
Hint: Find the greatest multiple of 4 that is not more than 362. What is left over is the remainder, and it must be less than 4.
Question 4
A baker has 610 cookies and puts 6 in each bag. How many bags can be filled?
answer box
101
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.
Question 5
Divide.
354 ÷ 6 = ?
answer box
59
Hint: Think: 6 × ? = 354. Split 354 into parts that divide easily by 6, like 300 and 54.
Question 6
What is the remainder when 682 is divided by 5?
answer box
2
Hint: Find the greatest multiple of 5 that fits into 682. Subtract it from 682; what is left is the remainder.