Long Division with Remainders Worksheets

Are you searching for engaging and comprehensive worksheets to help students master long division with remainders? Look no further! Our collection of worksheets is specifically designed to provide ample practice and support for learners tackling this important mathematical concept. Whether you're a teacher looking for resources to supplement your lessons or a parent seeking extra practice for your child, our long division with remainders worksheets are a valuable tool for honing essential skills.

  Long Division without Remainders Worksheets

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  Decimal Long Division Worksheets

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  Math Division Decimals Worksheets

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  Math Division Decimals Worksheets

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What is long division?

Long division is a method used to divide two numbers by finding the quotient, which is the result of the division, and the remainder. It involves repeatedly subtracting multiples of the divisor from the dividend to determine the next digit of the quotient. The process continues until there is no remainder left, providing a precise way to divide larger numbers where mental or short division methods may not be practical.

How do you set up a long division problem?

To set up a long division problem, write the divisor on the outside, the dividend on the inside, and start dividing digit by digit. Place the quotient above the line and multiply the divisor by the quotient digit and write the result below the dividend. Subtract this result from the dividend to find the remainder, then bring down the next digit and continue the process until there are no more digits to bring down.

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

To divide the first digit of the dividend by the divisor, you simply perform long division starting with the first digit of the dividend. This involves determining how many times the divisor goes into the first digit of the dividend, writing the quotient above the dividend, multiplying the divisor by the quotient, subtracting this result from the first digit of the dividend to get the remainder, and carrying down the next digit of the dividend to continue the division process.

What do you do with the quotient after dividing the first digit?

After dividing the first digit, you continue with the division process by bringing down the next digit in the dividend to form a new number. This new number, combined with the previous step's remainder (if any), is divided by the divisor to obtain a new quotient. This process is repeated until all the digits in the dividend have been divided and you have obtained the final quotient.

How do you bring down the next digit of the dividend?

To bring down the next digit of the dividend, you need to continue dividing the remaining part of the dividend by the divisor. Then, you bring down the next digit from the dividend to form a new number that can be divided by the divisor. This process is repeated until all the digits of the dividend have been considered in the division.

How do you continue the division process with the new digit?

To continue the division process with a new digit, you would bring down the next digit from the dividend to form a new number. This number is compared to the divisor and division is carried out to determine how many times the divisor can be subtracted from the new number without going over. This quotient is placed above the division sign and the process is repeated until all digits in the dividend have been considered.

What happens if the divisor does not evenly divide the dividend?

If the divisor does not evenly divide the dividend, you will have a remainder. The remainder is the amount left over after dividing the dividend by the divisor. It is essentially the "leftover" amount that could not be evenly divided by the divisor.

How do you determine the remainder in long division?

To determine the remainder in long division, you divide the dividend (the number being divided) by the divisor (the number you are dividing by) and then multiply the whole number quotient by the divisor. Finally, subtract this product from the dividend to find the remainder. The remainder is the amount left over after dividing as evenly as possible without going over.

How do you write the final answer in long division?

To write the final answer in long division, you place the remainder (if any) over the divisor as a fraction. The quotient obtained during the division process is the whole number part of the final answer. The remainder, if not zero, is written as a fraction with the divisor as the denominator.

What are some common mistakes to watch out for in long division?

In long division, some common mistakes to watch out for include: not bringing down the correct digits during each step, misplacing the decimal point if dividing decimals, mixing up the order of operations, forgetting to shift the dividend when needed, and failing to accurately perform the subtractions or multiplications in each step. Keeping a careful eye on these potential errors can help ensure accurate results when performing long division.