Long Division Worksheets for 5th Graders

In 5th grade math, long division is one of the key topics that students need to master. To help them practice and reinforce their skills, long division worksheets can be a valuable resource. These worksheets provide ample opportunities for students to work on dividing multi-digit numbers and build confidence in tackling complex division problems.

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  5th Grade Long Division Worksheets

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  2-Digit Division Worksheets

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  Free Printable Division Worksheets 4th Grade

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  Long Division Worksheets 4th Grade

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What is long division?

Long division is a method of dividing one number by another by breaking down the division process into smaller, more manageable steps. It involves dividing the dividend (the number being divided) by the divisor (the number that divides the dividend) and step-by-step, digit-by-digit subtraction, bringing down each successive digit of the dividend until the division is completed, and a remainder, if any, is determined.

How do you set up a long division problem?

To set up a long division problem, write the dividend inside the division symbol, place the divisor outside the symbol, and then divide as you would with smaller numbers, starting from the leftmost digit. Bring down the next digit of the dividend to continue with each step until you have solved the problem. Remember to keep track of your remainder and place it appropriately in your answer.

What is the purpose of the divisor in long division?

The purpose of the divisor in long division is to determine how many times the divisor can be subtracted from the dividend in order to find the quotient. It helps in breaking down the division process into manageable steps and allows for a systematic way to divide larger numbers.

How do you divide the first digit in the dividend?

To divide the first digit in the dividend, you would bring down the next digit to form a new two-digit number, and then divide this new number by the divisor. This process is repeated until all digits in the dividend have been divided.

What do you do if the divisor doesn't go into the first digit of the dividend?

If the divisor doesn't go into the first digit of the dividend, you usually add the next digit to create a larger number and then divide the divisor into this new number. This may require carrying over from the first digit to the second digit of the dividend. Keep repeating this process until you have a number that the divisor can go into.

How do you write the quotient in long division?

To write the quotient in long division, you place the digits of the quotient above the division bracket, aligning each digit with the corresponding place value in the dividend. Starting with the leftmost digit, you divide the first few digits of the dividend by the divisor, writing the result above the division bracket. If the division is not exact, you continue bringing down more digits from the dividend until you have a remainder that can no longer be divided evenly.

What is the purpose of the remainder in long division?

The purpose of the remainder in long division is to represent the amount left over that could not be evenly divided by the divisor. It is crucial in showing that division was not exact and helps to express the result as a whole number with a fractional part or decimal. The remainder indicates how much is left over after dividing as much as possible by the divisor, showing the full outcome of the division process.

How do you determine the next digit of the quotient in long division?

To determine the next digit of the quotient in long division, you divide the current remainder by the divisor. The result of this division will give you the next digit in the quotient. You then multiply this digit by the divisor and subtract it from the current remainder to find the new remainder for the next step of long division. Repeat this process until there is no remainder left, and you have successfully found the quotient.

What do you do if you run out of digits in the dividend but still have a remainder?

If you run out of digits in the dividend but still have a remainder, you would typically bring down another digit from the dividend or add a zero to the end of the dividend to continue the division process. This allows you to keep dividing until you either reach a zero remainder or decide to stop at a certain point based on the accuracy required for the calculation.

How do you know when you have completed a long division problem correctly?

You know you have completed a long division problem correctly when there is no remainder left after dividing the dividend by the divisor. Additionally, when you multiply the divisor by the quotient and add any remainder to the product, it should equal the original dividend. Double-checking your work by performing this multiplication can confirm that you have completed the long division problem accurately.