Dividing by two-digit numbers, like 480 ÷ 16
In 5th grade, children learn to divide numbers up to four digits by two-digit numbers, like 480 ÷ 16, using place value and multiplication, and to explain the steps with a drawing or an equation.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
Try these with your child
These are real questions from our 5th grade practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.
Question 1 of 3
Which equation can you use to find 1,350 ÷ 45?
- 45 × ? = 1,350
- 1,350 × 45 = ?
- 45 ÷ 1,350 = ?
Why this matters
Dividing by two-digit numbers is the bridge your child will cross to reach long division in 6th grade. Asking how many 12s fit into 384 makes that written method much easier to follow. It also comes up whenever things are shared or grouped, like splitting a $480 bill among 16 people, and later supports unit rates and dividing decimals.
Where kids can get stuck
- Picking a first chunk that is too big, like 12 × 40 = 480 for 384 ÷ 12, then getting stuck.
- Losing track of the partial answers, so for 384 ÷ 12 they find 30 and 2 but write 302.
- Mishandling the remainder, writing 500 ÷ 16 as 314 instead of 31 with 4 left over.
How you can help
- Share out a real amount when it comes up, like 144 crackers for a class party of 24 children. Ask your child to estimate first, then work out how many each child gets, which is 6.
- Sketch a long rectangle on paper for 384 ÷ 12, with 12 on the short side. Have your child fill it in by chunks, 12 × 30 = 360 and then 12 × 2 = 24, and explain why the answer is 32.
- Ask your child to check a division answer with multiplication at the table. If they say 368 ÷ 16 = 23, have them multiply 16 × 23 to see whether it gives 368, which it does.
If it’s helpful, you can sign up for free, adaptive practice in Bobby's Math Club.
Questions parents ask
Why is my child learning division this way instead of long division?
Long division is a compact method, but the steps can feel like magic if a child does not know why they work. Fifth grade strategies, like taking out friendly chunks of 10 or 20 groups at a time, show what division means. Children who learn these first tend to estimate better and catch mistakes. The standard long division method is usually taught in 6th grade.
What if my child does not know their multiplication facts well enough to divide?
Division leans heavily on multiplication, so slow facts make each step harder. Your child can still learn the strategy while facts improve. Encourage them to write a short list of easy multiples, such as 16, 32, 48, 80, and 160 for 16, before starting. That list turns a hard problem into a series of manageable choices.
How does my child decide what to do with a remainder?
It depends on the situation. If 500 students need buses holding 16 each, 31 buses leave 4 students behind, so the answer is 32 buses. If 500 cards are shared among 16 children, each gets 31 and 4 are left over. Talking through what the remainder means in a real situation helps your child choose sensibly.
Make learning math fun
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- A few minutes a day, at just the right level
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Written by Robert “Bobby” Barnett
Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.
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Join the clubNote for teachers: This skill is covered by Common Core math standard 5.NBT.B.6: “Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.” Learn how Bobby's Math Club can help your students grow. (Common Core 5.NBT.6)