Long Division Worksheets for 4th Graders

Are you a 4th-grade teacher or parent seeking effective long division worksheets for your students or children? Whether you're looking to reinforce their understanding of this fundamental mathematical operation or provide them with extra practice, we've got you covered. Our collection of long division worksheets is designed to engage young learners and help them develop their skills in dividing large numbers with ease and accuracy.

  Long Division Worksheets 4th Grade

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  Printable Long Division Worksheets 4th Grade

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  Long Division Worksheets 4th Grade

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  Printable Division Worksheets Grade 4

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  5th Grade Division Math Worksheets Printable

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  Free Printable Division Worksheets 4th Grade

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  Long Division Worksheets 4th Grade

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  Math Division Worksheets 4th Grade

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  Math Division Worksheets 3rd Grade

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  5th Grade Decimal Division Worksheets

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  Long Division Worksheets 4th Grade Math

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  Long Division Worksheets 4th Grade

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  5th Grade Long Division Worksheets

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  Long Division Worksheets 4th Grade

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  4th Grade Division Worksheet with Money

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  Double-Digit Division Worksheets

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What is long division?

Long division is a method used in arithmetic to divide two numbers, where the dividend is divided by the divisor to give the quotient along with a possible remainder. It is a more detailed and step-by-step approach compared to short division, involving multiple steps of subtraction, multiplication, and bringing down digits until the division is complete.

What are some important skills needed for long division?

Some important skills needed for long division include a strong understanding of basic arithmetic operations like multiplication and subtraction, the ability to identify patterns and make estimates, proficiency in place value and number sense, attention to detail, and patience to work through multiple steps and solve complex problems accurately. Practice and familiarity with various division strategies and techniques are also key in mastering the skill of long division.

How do you set up a long division problem?

To set up a long division problem, write the divisor outside the bracket on the left side, and the dividend inside the bracket on the right side. Begin dividing the leftmost digits of the dividend by the divisor, writing the quotient above the line. Multiply the quotient by the divisor, subtract from the digits below, and bring down the next digit of the dividend. Repeat the process until all digits of the dividend have been used, and the remainder, if any, is smaller than the divisor.

What is the purpose of the dividend, divisor, quotient, and remainder in long division?

The dividend is the number being divided, the divisor is the number by which the dividend is divided, the quotient is the result of the division, and the remainder is the amount left over after dividing as evenly as possible. These components are integral to the long division process as they help to break down a division problem into manageable steps and determine the final outcome of the division operation.

How do you divide the first digit of the dividend by the divisor in long division?

In long division, you divide the first digit of the dividend by the divisor by looking at how many times the divisor can fit into the digit. You write the result on top of the dividend, then multiply the divisor by that result and subtract it from the dividend to find the remainder.

What do you do if the divisor cannot evenly divide the first digit of the dividend?

If the divisor cannot evenly divide the first digit of the dividend, you typically shift to the next digit of the dividend and continue the division process. This may involve carrying over the remainder from the previous division as necessary. The division process continues until you have divided all the digits of the dividend or reached the desired level of precision.

How do you bring down the next digit of the dividend in long division?

To bring down the next digit of the dividend in long division, you should multiply the current remainder by the base number (typically 10 in decimal division) to get the next portion of the dividend. Then, you add the next digit of the dividend to the result obtained from the multiplication to continue solving the long division problem.

What do you do if you run out of digits to bring down in the dividend?

If you run out of digits to bring down in the dividend during long division, you place a zero (0) next to the last remainder and continue the division process. This allows you to bring down more digits in the dividend for further calculation until you reach the desired level of accuracy or until the division process is complete.

How do you repeat the process of dividing and bringing down digits until the dividend is completely divided?

To repeat the process of dividing and bringing down digits until the dividend is completely divided, continue dividing the result of each division (quotient) until there are no remainders left. Bring down the next digit of the dividend, if any, and repeat the division steps until the dividend is completely divided, and you reach the final remainder of zero. This process is typically done when performing long division.

How do you check your answer for accuracy in long division?

To check your answer for accuracy in long division, you should multiply the quotient by the divisor and then add the remainder. The result of this multiplication should equal the dividend that you started with. If it does not match, then there may have been an error in the long division calculation.