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Quizzes > Mathematics > Basic Math & Arithmetic

Long Division Practice Problems Quiz

Think you can ace this division test? Practice long division questions and get instant answers!

Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art illustration for long division practice problems quiz on a sky blue background

Calling all students eager to sharpen their skills: dive into our Master Long Division Practice Problems quiz and conquer long division questions! This quick challenge is designed to test your knowledge with real world scenarios and questions on long division, helping you practice long division step by step. Whether you're warming up for a big exam or simply want a fun way to boost confidence, this division test is perfect. Ready to get started? Try our long division quiz now, then keep the momentum with our division math quiz . Show what you know and watch your division skills grow!

What is 56 ÷ 7?
6
9
7
8
To divide 56 by 7 using long division, you note that 7 goes into 56 exactly 8 times with no remainder. This straightforward division results in an integer quotient. Practicing these simple divisions builds a strong foundation for multi-digit problems. For a detailed walkthrough, see Khan Academy.
What is 81 ÷ 9?
10
7
8
9
Dividing 81 by 9 yields exactly 9 because 9 multiplied by 9 equals 81. There is no remainder in this calculation. Recognizing perfect squares helps speed up these problems. More practice can be found at Purplemath.
What is 45 ÷ 5?
8
9
7
6
When you divide 45 by 5, you find that 5 goes into 45 exactly 9 times since 9×5=45. This division has no remainder. Simple divisions like this illustrate basic long division steps. See more examples at Math Is Fun.
What is 64 ÷ 8?
6
7
8
9
Dividing 64 by 8 yields 8 because 8×8=64 with zero remainder. Recognizing this perfect power of two helps in quick mental math. This basic division underpins more complex problems later. For a refresher, check Khan Academy Long Division.
What is 234 ÷ 6?
38
39
37
40
Using long division, 6 goes into 23 three times (3×6=18), leaving a remainder of 5. Bringing down the 4 gives 54, and 6 goes into 54 nine times (9×6=54). Combining those gives 39. For step-by-step guidance, visit Purplemath.
What is 345 ÷ 5?
68
67
69
70
First, 5 goes into 34 six times (6×5=30) with a remainder of 4. Bringing down the 5 gives 45, and 5 goes into 45 nine times (9×5=45), resulting in 69. This shows the importance of handling remainders systematically. Learn more at Math Is Fun.
What is 528 ÷ 8?
64
65
67
66
In long division, 8 goes into 52 six times (6×8=48), leaving 4. Bringing down the 8 gives 48, and 8 goes into 48 exactly six times. Thus the quotient is 66. Practice this process further at Khan Academy.
What is 714 ÷ 7?
100
102
101
103
Start with 7 into 71 which goes 10 times (10×7=70) with a remainder of 1. Bringing down the 4 yields 14, and 7 goes into 14 two times. This gives a total quotient of 102. For more examples, see Purplemath Division.
What is 156 ÷ 12?
14
13
12
11
Dividing 156 by 12, note that 12 goes into 15 once (1×12=12), remainder 3. Bringing down 6 makes 36, and 12 goes into 36 exactly three times. The quotient is therefore 13. This problem demonstrates grouping and place value. More detail at Khan Academy Long Division.
What is 1024 ÷ 16?
63
64
65
62
Since 16×64 equals 1024 exactly, the quotient is 64 with no remainder. Recognizing powers of two makes this division quick. These skills are crucial for higher-level arithmetic. See examples at Math Is Fun.
What is 3591 ÷ 9?
397
400
399
398
Using long division, 9 goes into 35 three times (3×9=27), remainder 8. Bring down the 9 to make 89, then 9 goes into 89 nine times (9×9=81), remainder 8. Bringing down the 1 yields 81, and 9 goes into 81 nine times. The quotient is 399. Further explanation at Khan Academy.
What is 4782 ÷ 13?
368 R 2
366 R 10
369 R 9
367 R 11
First, 13 goes into 47 three times (3×13=39), remainder 8. Bringing down 8 gives 88, and 13 goes into 88 six times (6×13=78), remainder 10. Bringing down 2 yields 102, and 13 goes into 102 seven times (7×13=91), remainder 11. The result is 367 remainder 11. See method at Purplemath.
What is 12345 ÷ 15?
825
822
823
824
Using long division, 15 goes into 123 four times (4×15=60), remainder 3, bring down 3 to make 33, gives 2 (2×15=30), remainder 3, bring down 4 gives 34, goes 2 times (2×15=30), remainder 4, bring down 5 to make 45, goes 3 times (3×15=45). The final quotient is 823. For advanced examples, visit Khan Academy.
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Study Outcomes

  1. Apply Systematic Long Division -

    Use the standard long division algorithm to break down multi-digit division problems step by step and arrive at accurate quotients.

  2. Interpret Remainders Effectively -

    Determine and describe the meaning of remainders in division test scenarios and convert them to decimals or fractions when needed.

  3. Analyze Diverse Division Scenarios -

    Identify key information in word problems and set up long division practice problems to solve real-world division questions.

  4. Verify Answers with Confidence -

    Check your work against provided long division questions and answers, ensuring every step is correct and understanding any mistakes.

  5. Enhance Speed and Accuracy -

    Improve your calculation fluency by practicing timed division questions, reducing errors and increasing problem-solving efficiency.

  6. Build Mathematical Confidence -

    Gain confidence tackling challenging long division practice problems through repetitive, interactive quiz feedback.

Cheat Sheet

  1. Understanding the Division Algorithm -

    When tackling long division practice problems, remember the division algorithm: Dividend = Divisor × Quotient + Remainder. This foundational formula, endorsed by university math departments like MIT OpenCourseWare, ensures you can always check that your answer balances. Keep this equation in mind to build confidence before you start dividing.

  2. Mastering Place Value Alignment -

    Properly aligning digits under each other is crucial for smooth long division questions. Research from Stanford's math education program highlights how clear column organization reduces errors and speeds up calculation. Practice by writing large problems neatly on graph paper or lined paper to visualize each step.

  3. Estimating Quotients Before Dividing -

    Use estimation to predict your quotient digit - round the divisor and initial digits of the dividend to make a quick mental estimate. Studies at the University of Cambridge show that estimation reduces rework and keeps you on track when handling tougher long division questions and answers. As a mnemonic, remember "Roughly Round, Then Refine."

  4. Handling Remainders and Decimals -

    When a remainder persists, append a decimal point and zeros to the dividend to continue dividing into decimal places. The National Council of Teachers of Mathematics (NCTM) recommends practicing this step on long division practice problems to fluently switch between whole-number and decimal results. Treat each added zero as a fresh "mini-dividend."

  5. Checking Your Work with Inverse Operations -

    Always multiply your quotient by the divisor and add the remainder to verify you get back to the original dividend. This simple back-check, promoted by Khan Academy, builds accuracy in every practice long division problem you solve. A quick inverse check turns each division test scenario into an error-proofing opportunity.

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