Grade 4Mathmedium
Advanced Division
Advanced Division — Division worksheet for Grade 4.
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What Your Child Will Learn
- Solve division problems with two-digit dividends and one-digit divisors using long division strategies
- Apply remainders correctly and interpret their meaning in real-world division contexts
- Demonstrate fluency with division facts and use them to check the reasonableness of quotients
- Analyze and explain the relationship between multiplication and division to verify division answers
How to Use This Worksheet
- Step 1: Review division facts (facts up to 10 ÷ 10) before starting the worksheet. Have your student verbally state 3-4 facts aloud to activate prior knowledge and build confidence for the more complex problems.
- Step 2: Work through the first 2-3 problems together as a model. For each problem, have your student talk through the steps aloud: 'I divide first, then multiply, then subtract, then bring down the next number.'
- Step 3: Have your student complete problems 4-12 independently, but ask them to draw a small check mark next to each problem once they've verified their answer using multiplication (multiply quotient × divisor).
- Step 4: For problems 13-15 (likely the most challenging), work in partnership. Your student solves while you ask guiding questions like, 'Does your answer make sense?' or 'Can you prove your answer using multiplication?'
- Step 5: Review any incorrect answers together by walking through the long division steps slowly. Identify which step caused the error (often the 'bring down' step) and have them rework just that problem.
Tips for Parents & Teachers
Watch for the common mistake of students forgetting to 'bring down' the next digit during long division. Have them use a visual checklist: Divide, Multiply, Subtract, Bring Down, and Repeat. This helps them remember each step in sequence.
Many fourth graders struggle with remainders—they may ignore them or not understand what they represent. Encourage real-world context: 'If 23 cookies are divided among 4 friends, each gets 5 cookies with 3 left over.' This concrete application helps remainders make sense.
Use the multiplication-division connection intentionally. If a student gets an answer they're unsure about, have them multiply the quotient by the divisor to check. For example, if 24 ÷ 3 = 8, then 8 × 3 should equal 24. This builds confidence and catches errors.
Some students may struggle with problems where the divisor doesn't 'fit' into the first digit of the dividend. Explicitly teach them to look at the first two digits. For example, in 36 ÷ 4, explain why we can't divide 3 by 4, so we use 36 instead.
Frequently Asked Questions
How do I know if my fourth grader is ready for medium-difficulty division problems?
Your student should be able to answer basic division facts (like 12 ÷ 3 = 4) quickly and understand that division is the opposite of multiplication. They should also be comfortable with two-digit numbers and understand place value. If they can do these things, they're ready for problems with two-digit dividends and remainders.
What should I do if my child gets frustrated with long division?
Break problems into smaller chunks. Instead of solving 28 ÷ 4 all at once, ask, 'How many 4s fit into 28?' and let them use skip counting or drawings first. Once they understand the concept, transition to the formal long division format. Frustration often means they need a more concrete approach before the abstract algorithm.
Why is understanding remainders important at this grade level?
Remainders show that division doesn't always result in equal groups. For example, 25 ÷ 4 = 6 R1 means 4 groups of 6 with 1 left over. Understanding this prevents students from simply ignoring the leftover amount and helps them solve real-world problems like distributing items fairly or figuring out how many containers are needed.
How can I help my student remember the long division steps?
Use the acronym DMSB: Divide, Multiply, Subtract, Bring down. Have your student write these words at the top of their paper or create a simple poster. Some teachers use the phrase 'Does McDonald's Sell Burgers?' to make it memorable. Repetition and visual reminders are key for fourth graders.
What's a good way to check division answers besides redoing the problem?
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