5th grade · Math · Unit 3 of 15
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.
New York State Learning Standards learning standard: NY-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 New York
In the New York State Learning Standards, this is unit 3 of 15 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.
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 597 ÷ 6?
597 ÷ 6
- 99
- 100 R 3
- 98 R 9
- 99 R 3
99 R 3
Hint: Find the greatest multiple of 6 that is not more than 597. What is left over is the remainder, and it must be less than 6.
Question 2
Which is the best estimate for 791 ÷ 3?
- 520
- 260
- 2600
- 26
260
Hint: Change 791 to a nearby number that divides easily by 3, like 780. Then divide the friendly number.
Question 3
A baker has 158 cookies and puts 8 in each bag. How many bags can be filled?
answer box
19
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.
Question 4
246 chairs are set up in 3 equal rows. How many chairs are in each row?
answer box
82
Hint: Sharing equally means divide by 3. Split 246 into parts that are easy to share, then add the shares.
Question 5
969 people are coming to a banquet. Each table seats 6. How many tables are needed so everyone has a seat?
answer box
162
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 6
What is the remainder when 501 is divided by 4?
answer box
1
Hint: Find the greatest multiple of 4 that fits into 501. Subtract it from 501; what is left is the remainder.