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.
Alabama Course of Study content standard: 5.7 · 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 Alabama
In the Alabama Course of Study, 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
A 9-day bike trip covers 783 km, with the same distance each day. How many kilometers is that per day?
answer box
87
Hint: Sharing equally means divide by 9. Split 783 into parts that are easy to share, then add the shares.
Question 2
What is the remainder when 876 is divided by 5?
answer box
1
Hint: Find the greatest multiple of 5 that fits into 876. Subtract it from 876; what is left is the remainder.
Question 3
How can you check that 710 ÷ 5 = 142?
- Multiply 710 × 5
- Divide 142 ÷ 5
- Add 142 + 5
- Multiply 142 × 5
Multiply 142 × 5
Hint: Multiplication and division undo each other. If the quotient times the divisor gives the dividend, the division is right.
Question 4
A store needs to ship 348 books. Each box holds 8 books. How many boxes are needed?
answer box
44
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 5
Kenji has $937. Each book costs $7. How many books can Kenji buy?
answer box
133
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 822 ÷ 6?
- 280
- 14
- 140
- 1400
140
Hint: Change 822 to a nearby number that divides easily by 6, like 840. Then divide the friendly number.