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.
Arizona Academic Standards 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 Arizona
In the Arizona Academic 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: Arizona 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
A farm has 662 eggs to pack in cartons that hold 6 eggs each. How many cartons are needed for all the eggs?
answer box
111
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 2
A ribbon is 359 cm long. How many pieces 3 cm long can be cut from it?
answer box
119
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.
Question 3
Which is the best estimate for 783 ÷ 8?
- 100
- 10
- 1000
- 200
100
Hint: Change 783 to a nearby number that divides easily by 8, like 800. Then divide the friendly number.
Question 4
Divide.
156 ÷ 6 = ?
answer box
26
Hint: Think: 6 × ? = 156. Split 156 into parts that divide easily by 6, like 120 and 36.
Question 5
How can you check that 108 ÷ 9 = 12?
- Multiply 12 × 9
- Multiply 108 × 9
- Add 12 + 9
- Divide 12 ÷ 9
Multiply 12 × 9
Hint: Multiplication and division undo each other. If the quotient times the divisor gives the dividend, the division is right.
Question 6
What is 533 ÷ 7?
533 ÷ 7
- 76 R 2
- 76
- 75 R 8
- 76 R 1
76 R 1
Hint: Find the greatest multiple of 7 that is not more than 533. What is left over is the remainder, and it must be less than 7.