5th grade · Math · Unit 3 of 12
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.
Minnesota K-12 Academic Standards benchmark: 5.3.5.2; 5.3.5.3 · dividing by one- and two-digit divisors and making sense of remainders
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 Minnesota
In the Minnesota K-12 Academic Standards, this is unit 3 of 12 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 3-day bike trip covers 882 km, with the same distance each day. How many kilometers is that per day?
answer box
294
Hint: Sharing equally means divide by 3. Split 882 into parts that are easy to share, then add the shares.
Question 2
A farm has 565 eggs to pack in cartons that hold 6 eggs each. How many cartons are needed for all the eggs?
answer box
95
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 741 is divided by 5?
answer box
1
Hint: Find the greatest multiple of 5 that fits into 741. Subtract it from 741; what is left is the remainder.
Question 4
Which is the best estimate for 872 ÷ 5?
- 360
- 180
- 18
- 1800
180
Hint: Change 872 to a nearby number that divides easily by 5, like 900. Then divide the friendly number.
Question 5
Amir has $976. Each book costs $7. How many books can Amir buy?
answer box
139
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.
Question 6
How can you check that 243 ÷ 9 = 27?
- Add 27 + 9
- Multiply 27 × 9
- Divide 27 ÷ 9
- Multiply 243 × 9
Multiply 27 × 9
Hint: Multiplication and division undo each other. If the quotient times the divisor gives the dividend, the division is right.