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.
Texas Essential Knowledge and Skills (TEKS) teks student expectation: 5.3(C) · dividing a four-digit number by a two-digit number
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 Texas
In the Texas Essential Knowledge and Skills (TEKS), this is unit 3 of 15 in 5th grade Math, after Multiply and before Unlike Denominators.
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: Texas Education Agency (TEA)
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 the remainder when 493 is divided by 6?
answer box
1
Hint: Find the greatest multiple of 6 that fits into 493. Subtract it from 493; what is left is the remainder.
Question 2
A class collects 513 cans and packs them equally into 9 boxes. How many cans go in each box?
answer box
57
Hint: Sharing equally means divide by 9. Split 513 into parts that are easy to share, then add the shares.
Question 3
332 people are coming to a banquet. Each table seats 8. How many tables are needed so everyone has a seat?
answer box
42
Hint: Divide. If there is a remainder, the leftover ones still need a place, so you need one more than the quotient.
Question 4
Which is the best estimate for 827 ÷ 9?
- 9
- 900
- 90
- 180
90
Hint: Change 827 to a nearby number that divides easily by 9, like 810. Then divide the friendly number.
Question 5
How can you check that 927 ÷ 9 = 103?
- Divide 103 ÷ 9
- Multiply 103 × 9
- Multiply 927 × 9
- Add 103 + 9
Multiply 103 × 9
Hint: Multiplication and division undo each other. If the quotient times the divisor gives the dividend, the division is right.
Question 6
803 players sign up for a tournament. Each team needs exactly 9 players. How many full teams can be made?
answer box
89
Hint: Divide. The remainder is not enough to make one more, so leave it out and use only the quotient.