A focused Grade 4 learning session for Multi-Digit Division using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can divide a multi-digit number and interpret the quotient and remainder.
Multi-Digit Division means choosing a model, naming what each number means, and explaining the strategy.
Question: The long division diagram shows \(2{,}688\div3\). What is the quotient?
Why it works: Follow the diagram: \(26\div3=8\) r\(2\), \(28\div3=9\) r\(1\), \(18\div3=6\). Reading the quotient from the right side, we get \(\mathbf{896}\).
Answer: \(896\)
Question: What is the remainder when \(2{,}047\) is divided by \(7\)?
Answer: \(3\)
Question: A small factory packs \(3{,}024\) toys into boxes. How many boxes of \(6\) toys per box can they fill?
Answer: \(504\)
Question: Ava has \(728\) stickers to put equally into \(8\) boxes. How many stickers go in each box?
Why it works: Think: \(72\div8=9\), bring down the \(8\) to get \(8\div8=1\). So each box holds \(\mathbf{91}\) stickers.
Answer: \(91\)
Multi-Digit Division becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Understand the model before choosing the operation.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
What is \(1{,}245\div5\)?
Answer D: \(249\)
We use long division: \(12\div5=2\) r\(2\), bring down the \(4\) to get \(24\div5=4\) r\(4\), then bring down the \(5\) to get \(45\div5=9\). So \(\mathbf{249}\) is our answer.
Ava has \(728\) stickers to put equally into \(8\) boxes. How many stickers go in each box?
Answer D: \(91\)
Think: \(72\div8=9\), bring down the \(8\) to get \(8\div8=1\). So each box holds \(\mathbf{91}\) stickers.
What is \(3{,}456\div4\)?
Answer D: \(864\)
Use long division step by step: \(3\div4=0\) r\(3\), bring down the \(4\) to get \(34\div4=8\) r\(2\), bring down the \(5\) to get \(25\div4=6\) r\(1\), bring down the \(6\) to get \(16\div4=4\). The quotient is \(\mathbf{864}\).
A baker divides \(540\) cookies equally among \(6\) friends. How many cookies does each friend receive?
Answer C: \(90\)
Divide: \(54\div6=9\), and \(0\div6=0\) gives us \(90\). Each friend receives \(\mathbf{90}\) cookies.
What is \(2{,}184\div7\)?
Answer A: \(312\)
Long division: \(2\div7=0\) r\(2\), bring down the \(1\) to get \(21\div7=3\), bring down the \(8\) to get \(8\div7=1\) r\(1\), bring down the \(4\) to get \(14\div7=2\). The answer is \(\mathbf{312}\).
Ming has \(936\) marbles. She wants to pack them into bags with \(9\) marbles each. How many full bags can she make?
Answer A: \(104\)
Divide: \(9\div9=1\), bring down the \(3\) to get \(3\div9=0\) r\(3\), bring down the \(6\) to get \(36\div9=4\). Ming makes \(\mathbf{104}\) full bags.
Which expression shows the quotient and remainder for \(567\div8\)?
Answer A: \(70\) r\(7\)
Long division: \(56 \div 8 = 7\), bring down the \(7\) to get \(7 \div 8 = 0\) r\(7\). The quotient is \(\mathbf{70}\) with remainder \(\mathbf{7}\). Quick check: \(70 \times 8 + 7 = 560 + 7 = 567\). \checkmark
Diego needs to divide \(1{,}625\) into \(5\) equal groups. What is the result?
Answer D: \(325\)
Use long division: \(16\div5=3\) r\(1\), bring down the \(2\) to get \(12\div5=2\) r\(2\), bring down the \(5\) to get \(25\div5=5\). The result is \(\mathbf{325}\).
What is \(2{,}432\div8\)?
Answer A: \(304\)
Long division: \(2\div8=0\) r\(2\), bring down the \(4\) to get \(24\div8=3\), bring down the \(3\) to get \(3\div8=0\) r\(3\), bring down the \(2\) to get \(32\div8=4\). The answer is \(\mathbf{304}\).
Noah's class collected \(455\) books. They want to donate them equally to \(5\) libraries. How many books go to each library?
Answer D: \(91\)
Divide: \(45\div5=9\), and \(5\div5=1\). Each of the \(5\) libraries gets \(\mathbf{91}\) books.
What is \(4{,}125\div5\)?
Answer C: \(825\)
Long division: \(4\div5=0\) r\(4\), bring down the \(1\) to get \(41\div5=8\) r\(1\), bring down the \(2\) to get \(12\div5=2\) r\(2\), bring down the \(5\) to get \(25\div5=5\). Answer: \(\mathbf{825}\).
