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Quizzes > High School Quizzes > Mathematics

Long Division Worksheets Practice Quiz

Build confidence with long division worksheets for 6th graders

Difficulty: Moderate
Grade: Grade 4
Study OutcomesCheat Sheet
Paper art promoting a Long Division Mastery quiz for grade 5 students to prepare for math exams.

In long division, what does it mean to 'bring down' a digit?
Appending the next digit from the dividend to the current remainder to form a new partial dividend.
Subtracting the divisor from the dividend.
Adding a zero to the quotient.
Dropping the digit from the dividend permanently.
Bringing down a digit means you take the next digit from the dividend and attach it to the remainder from the previous subtraction. This creates a new number to continue the division process.
What is the divisor in a long division problem?
The remainder after division.
The number that divides another number in a division problem.
The number being divided.
The result of the division.
The divisor is the number by which the dividend is divided. Recognizing the divisor is essential for setting up and solving a long division problem.
When setting up a long division problem, which number is the dividend?
The estimated quotient.
The number that is being divided.
The result after subtraction.
The number that divides.
The dividend is the number that is to be divided by the divisor. Identifying the dividend is the first step in setting up the long division correctly.
Why do we subtract the product of the divisor and the quotient digit during long division?
To compute the quotient directly.
To add to the divisor.
To find the remainder and prepare for the next step in the process.
To multiply the dividend.
Subtracting the product of the divisor and the quotient digit reveals the remainder in that step. This remainder is crucial for forming the next partial dividend and continuing the process.
What is the purpose of writing a zero in the quotient during long division?
It increases the dividend's value.
It serves as a placeholder when the divisor cannot be fitted into the current partial dividend.
It reduces the divisor.
It indicates that the division is complete.
Placing a zero in the quotient shows that the divisor does not fit into the particular portion of the dividend at that step. This keeps the place value intact as the division process continues.
What is the quotient of 144 divided by 12?
16
14
10
12
Since 12 multiplied by 12 equals 144, the quotient is 12. This fact reinforces the relationship between multiplication and division.
Calculate the quotient of 256 divided by 8.
34
30
32
28
Multiplying 8 by 32 gives 256 exactly. This confirms that 256 divided by 8 results in a quotient of 32.
When dividing 101 by 4 using long division, what is the correct quotient and remainder?
25 R1
24 R5
26 R0
25 R0
Multiplying 4 by 25 gives 100, and subtracting this from 101 leaves a remainder of 1. This correctly shows that 101 divided by 4 is 25 with a remainder of 1.
In a long division problem, why is estimation important when choosing a quotient digit?
It prevents subtracting too much or too little from the dividend.
It multiplies the divisor by a random number.
It makes the quotient larger.
It increases the dividend's size.
Estimation helps identify the largest multiplier of the divisor that does not exceed the current partial dividend. This careful selection ensures that the subtraction step gives a non-negative remainder.
What is the quotient of 98 divided by 7?
13
14
15
16
Since 7 multiplied by 14 equals 98, the quotient is 14. The absence of a remainder confirms the clean division.
Solve 1325 divided by 5 using long division. What is the final result?
265
275
255
250
Multiplying 5 by 265 gives 1325 exactly, indicating that the quotient is 265 with no remainder. This shows that the division was exact.
If the current partial dividend is 13 and the divisor is 4, which quotient digit is appropriate for that step?
2
1
4
3
Four times 3 is 12, which is the largest product that does not exceed 13, while four times 4 would exceed it. This estimation is a critical aspect of the long division process.
Perform long division to compute 567 divided by 3. What is the quotient?
188
190
189
187
Multiplying 3 by 189 gives 567 exactly, confirming that the quotient is 189. This reinforces both the division and multiplication relationships.
After subtracting the product in a long division step, what is the next step in the algorithm?
Subtract the divisor again.
Bring down the next digit from the dividend.
Multiply the remainder by the quotient.
Write the next digit in the quotient.
After subtraction, the next critical step is to bring down the next digit from the dividend to form a new partial dividend. This step is essential for continuing the long division process.
Why is checking the multiplication step important during long division?
It determines the final remainder alone.
It is used to find new divisors.
It confirms that the estimated quotient digit multiplied by the divisor is close to the partial dividend without exceeding it.
It increases the value of the remainder.
Verifying the multiplication helps ensure that the chosen quotient digit is neither too high nor too low. This check prevents calculation errors and maintains the accuracy of the division process.
Divide 12345 by 6 using long division. What is the quotient and remainder?
2057 R3
2057 R0
2058 R1
2056 R9
Multiplying 6 by 2057 yields 12342, and subtracting that from 12345 leaves a remainder of 3. This confirms the correct result of 2057 with a remainder of 3.
Using long division, determine the quotient and remainder when 9876 is divided by 4.
2472 R0
2468 R2
2469 R0
2470 R1
Since 4 multiplied by 2469 equals 9876 exactly, the division results in a quotient of 2469 with no remainder. This demonstrates an exact division with proper use of long division steps.
What is the quotient when 43210 is divided by 5 using long division?
8624
8652
8640
8642
Since 5 multiplied by 8642 equals 43210 exactly, the quotient is 8642 with no remainder. This confirms the division process was carried out correctly.
For the division of 234 by 15 using long division, what is the first digit of the quotient?
0
3
1
2
Fifteen fits into 23 only once, so the first digit of the quotient is 1. This initial estimation is important for setting up the remainder and continuing the division process.
When dividing 56789 by 7 using long division, how can you tell if your estimated quotient digit is too high?
If subtracting leaves a negative number.
If the product equals the partial dividend exactly.
If the next digit is zero.
If the product of the divisor and the estimated digit exceeds the current partial dividend.
If multiplying the divisor by the estimated digit gives a result larger than the current partial dividend, it indicates the guess is too high. This check is critical in ensuring the division continues with accurate subtraction.
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Study Outcomes

  1. Understand the step-by-step procedure of multi-digit long division.
  2. Apply the long division algorithm to solve various division problems.
  3. Analyze division problems to identify errors and improve calculation accuracy.
  4. Evaluate personal problem-solving strategies to build confidence for exams.
  5. Demonstrate the ability to work through division problems with remainders effectively.

Long Division Quiz & Worksheets Cheat Sheet

  1. Know the Division Vocabulary - Every division problem has four parts: the dividend (the number being split), the divisor (the number you're dividing by), the quotient (your answer), and the remainder (what's left over). Mastering these names turns confusion into clarity and makes long division feel like solving a puzzle. Grab your calculator or pencil and see how each piece fits! Long Division Examples & Exercises
  2. Master the DMSBR Steps - Divide, Multiply, Subtract, Bring down, Repeat - this trusty acronym guides you through every stage of long division. By following DMSBR in order, you'll never lose your place, even in the trickiest problems. Think of it as your secret code to acing division! Long Division Steps & Practice
  3. Build a Strong Foundation with Single-Digit Divisors - Start small by practicing with multi-digit dividends and single-digit divisors to sharpen your basic skills. This focused practice helps you spot patterns and boost speed before moving on to tougher challenges. It's like leveling up in a video game - one stage at a time! Division Drills Worksheets
  4. Handle Remainders with Style - Remainders aren't roadblocks; they're chances to get creative by expressing leftovers as whole numbers, fractions, or decimal parts. Choose the format that fits the problem - money, measurements, or simple math homework. Flexibility here makes you a division superstar! Remainder Handling Guide
  5. Estimate for Two-Digit Divisors - Dividing by two-digit numbers takes a little mental math magic: estimate how many times the divisor fits into the leading digits of the dividend. A solid guess speeds up your work and cuts down on errors. With practice, your estimates become lightning-fast! Two-Digit Divisor Practice
  6. Apply Long Division to Real-Life Scenarios - From splitting a pizza bill to dividing up your game time, long division shows up in everyday life. Working through money amounts or measurement problems helps you see why these skills matter. Real-world practice turns theory into superpower! Long Division Practice Sheets
  7. Visualize with Area Models - Drawing area models (rectangles split into smaller boxes) brings division to life and shows how numbers break down. This visual approach deepens understanding and helps you check each step at a glance. It's math art and logic combined! Area Model Worksheets
  8. Divide Decimals like a Pro - Tame those pesky decimal points by shifting them to turn decimals into whole numbers before dividing. Just move the decimal in both divisor and dividend the same number of places, then follow your usual steps. Decimals without drama - yes, please! Decimal Division Worksheets
  9. Check Your Answers with Multiplication - Always double-check by multiplying your quotient by the divisor and then adding any remainder. If you end up with the original dividend, you've nailed it. This simple back-check keeps mistakes at bay and builds confidence! Division Check-Up Exercises
  10. Practice Consistently for Confidence - Like any skill, long division gets better with variety and repetition. Mix up worksheets, timed drills, and real-world problems to keep things fresh and fun. Before you know it, you'll be a division whiz! Long Division Worksheets
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