enVision Mathematics Grade 4, Topic 5: Use Strategies and Properties to Divide by 1-Digit Numbers
In this unit, your child divides numbers up to four digits by a one-digit number, using place value, partial quotients, and the link between multiplying and dividing. They find remainders and decide what each one means in a story. It builds on the multiplying units before it, and leads into solving problems with all four operations.
By Robert “Bobby” BarnettMath teacher, parent, and founder of Bobby’s Math Club
What is my child learning in Topic 5?
- Dividing numbers like 1,452 ÷ 6 by sharing hundreds, tens, and ones, and checking the quotient by multiplying back. Learn more: Dividing with remainders, like 87 ÷ 5
- Deciding whether a remainder should be dropped, rounded up, or given as the answer, depending on the story. Learn more: Multi-step story problems and leftovers
Sample questions to try together
These are real questions from our 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
What is 87 ÷ 5?
- 17
- 17 R 2
- 17.2
How you can help
- Share 50 pieces of dry pasta equally among 6 cups. Each cup gets 8 with 2 left over, so 50 ÷ 6 = 8 R2. Talk about why the leftover is less than 6.
- Ask a packing question before an outing: "We have 22 water bottles and each bag holds 5. How many bags?" Talk about why the 2 leftover bottles mean 5 bags.
- Ask your child to prove each division answer: multiply the quotient by the divisor, add the remainder, and check that it matches the starting number.
Where kids can get stuck
- Skipping the zero in a quotient, so 824 ÷ 4 becomes 26 instead of 206.
- Answering "4 bags with 2 left over" when the extra bottles need a fifth bag.
- Leaving a remainder of 7 when dividing by 5, without seeing that 7 holds another group of 5.
Practice makes perfect
Bobby's Math Club has practice problems that adapt to your child’s level, each with a detailed explanation and an easy-to-follow video, so your child can build confidence in these skills one step at a time.
Words your child will hear
- quotient
- The answer to a division problem.
- dividend
- The number being divided, like 87 in 87 ÷ 5.
- divisor
- The number you divide by, like 5 in 87 ÷ 5.
- remainder
- The amount left over when a number can't be split into equal groups exactly.
- partial quotients
- Dividing in chunks, like taking out 10 groups and then 5 more, and adding the chunks.
- interpret
- To decide what an answer, like a remainder, means in the story.
Want to help your child master dividing with remainders?
In Bobby's Math Club, your child practices these skills at just the right level, with a hint when they need one, a clear explanation after every question, and kid-friendly videos. Unlimited practice is free.
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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.
Which math standards does enVision Mathematics Grade 4 Topic 5 cover?
enVision Mathematics Grade 4 Topic 5 covers these math standards. Each one links to what it means, sample questions, and teaching strategies.
For teachers: Unit names and order vary between editions and districts, so your school’s own materials have the exact sequence. Learn how Bobby's Math Club can help your students grow.