Division, Quotient and Remainder - Grade 4 Maths Questions With Answers

This page is designed to help students, parents, and teachers master the topic of division, quotients, and remainders through carefully selected practice questions and step-by-step solutions with explanations. Each solution provides the reasoning behind every step, helping learners build a strong foundation in arithmetic and problem-solving.

Questions and Solutions

  1. Calculate the division: \[456 \div 6 = ?\]
    1. \(7\)
    2. \(76\)
    3. \(70\)
    4. \(75\)
    View Step-by-Step Solution

    Problem: \(456 \div 6\)

    Explanation: Divide 45 by 6, which gives 7 with a remainder of 3. Bring down the 6 to make 36. Then divide 36 by 6, which gives 6.

    \(456 \div 6 = 76\). Therefore, the correct option is B.

  2. Calculate the division: \[2 \div 0 = ?\]
    1. \(0\)
    2. \(2\)
    3. \(20\)
    4. cannot find answer
    View Step-by-Step Solution

    Problem: \(2 \div 0\)

    Explanation: Division by zero is undefined in mathematics because no number multiplied by 0 can equal 2.

    Therefore, the correct option is D (division by zero is NOT allowed).

  3. Calculate the division: \[223 \div 1 = ?\]
    1. \(223\)
    2. \(1\)
    3. \(0\)
    4. cannot find answer
    View Step-by-Step Solution

    Problem: \(223 \div 1\)

    Explanation: Any number divided by 1 remains equal to itself.

    \(223 \div 1 = 223\). Therefore, the correct option is A.

  4. Quotient and Remainder: What is the quotient q and remainder r of the division: \[547 \div 4 = ?\]
    1. \(q = 3 \text{ and } r = 136\)
    2. \(q = 136 \text{ and } r = 0\)
    3. \(q = 136 \text{ and } r = 3\)
    4. \(q = 136 \text{ and } r = 27\)
    View Step-by-Step Solution

    Problem: Find quotient and remainder for \(547 \div 4\)

    Explanation: Divide 547 by 4: \(4 \times 136 = 544\). Subtract 544 from 547 to get the remainder: \(547 - 544 = 3\).

    Thus, \(q = 136\) and \(r = 3\). Therefore, the correct option is C.

  5. Order of Operations: What is the value of: \[(21 + 5) \div (4 - 2)\]
    1. \(13\)
    2. \(26\)
    3. \(2\)
    4. \(28\)
    View Step-by-Step Solution

    Problem: \((21 + 5) \div (4 - 2)\)

    Explanation: First evaluate expressions inside parentheses:

    \(21 + 5 = 26\) and \(4 - 2 = 2\)

    Then divide the results: \(26 \div 2 = 13\). Therefore, the correct option is A.

  6. Order of Operations: Evaluate the expression: \[(25 \div 5) \div (6 - 1) = ?\]
    1. \(5\)
    2. \(1\)
    3. \(625\)
    4. \(25\)
    View Step-by-Step Solution

    Problem: \((25 \div 5) \div (6 - 1)\)

    Explanation: Evaluate parentheses first:

    \(25 \div 5 = 5\) and \(6 - 1 = 5\)

    Then divide: \(5 \div 5 = 1\). Therefore, the correct option is B.

  7. Word Problem: 64 sweets are put in boxes that contain 8 sweets each. How many boxes are needed?
    1. \(72\)
    2. \(56\)
    3. \(8\)
    4. \(512\)
    View Step-by-Step Solution

    Problem: \(64 \div 8\)

    Explanation: Divide the total number of sweets by the number of sweets per box: \(64 \div 8 = 8\).

    Therefore, the correct option is C.

  8. Word Problem: If 6 children share 145 sweets equally, how many sweets will remain?
    1. \(24\)
    2. \(0\)
    3. \(6\)
    4. \(1\)
    View Step-by-Step Solution

    Problem: Find the remainder of \(145 \div 6\)

    Explanation: Divide 145 by 6: \(6 \times 24 = 144\). The remainder is \(145 - 144 = 1\).

    Therefore, the correct option is D.

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