4th Grade Worksheets Division with Remainders

4th-grade students often encounter division problems that involve remainders, which can be a challenging concept to grasp. To help reinforce their understanding, worksheets tailored specifically for practicing division with remainders can be a valuable resource. These worksheets provide exercises that focus on this specific topic, allowing students to further develop their problem-solving skills in a structured and comprehensive manner.

  Long Division Worksheets 4th Grade

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  Long Division Worksheets 4th Grade

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  Long Division with Remainders Worksheets 4th Grade

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  Beginning Long Division Worksheets

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What is division with remainders?

Division with remainders is a mathematical operation where a number is divided by another number, and if the division does not result in an exact quotient, there is a remainder left over. The remainder is the amount left over after dividing as much as possible. For example, when dividing 10 by 3, the quotient is 3 with a remainder of 1, expressed as 10 divided by 3 equals 3 remainder 1.

How do you represent division with remainders symbolically?

Division with remainders can be represented symbolically using the modulo operator (%). For example, if you have a division problem like 17 ÷ 5, you can represent it as 17 mod 5, which equals 2 with a remainder of 2. The modulo operator calculates the remainder after dividing the two numbers.

Can you give an example of a division problem with remainders?

Certainly! An example of a division problem with remainders is 27 divided by 4. When dividing 27 by 4, the quotient is 6 with a remainder of 3. This means that 27 can be divided by 4 six times with a remainder of 3.

What is the dividend in a division problem with remainders?

In a division problem with remainders, the dividend is the number that is being divided into equal parts. It is the total amount or quantity that is being divided by the divisor, resulting in a quotient and possibly a remainder. The dividend is typically written as the number being divided, usually placed inside the division symbol.

What is the divisor in a division problem with remainders?

The divisor in a division problem with remainders is the number by which the dividend is divided to get a quotient and a remainder. It is the number outside of the division bracket that divides the dividend.

How do you calculate the quotient in a division problem?

To calculate the quotient in a division problem, you simply divide the dividend (the number being divided) by the divisor (the number you are dividing by). The quotient is the result of this division operation, which gives you the number of times the divisor can be subtracted from the dividend without remainder.

What does the remainder represent in a division problem?

The remainder in a division problem represents the amount that is left over after the division process has been completed. It is the portion of the dividend that could not be evenly divided by the divisor, indicating that there is an incomplete division resulting in a leftover amount that does not make up a complete divisor.

How do you check if your division with remainders answer is correct?

To check if your division with remainders answer is correct, you can multiply the quotient by the divisor and then add the remainder. The result should equal the dividend. This ensures that the division operation was done accurately and the remainders were handled correctly.

How can division with remainders be used in real-life situations?

Division with remainders can be used in real-life situations such as splitting resources or items that can't be evenly divided among a certain number of people. For example, if you have 13 apples and want to share them among 4 people, you can calculate that each person will get 3 apples and there will be one apple leftover as a remainder. This concept can also be applied in situations like distributing cookies, sharing money, or allocating time among different tasks.

Can you provide a word problem that involves division with remainders?

Sure, here is a word problem that involves division with remainders: Sara bought 63 pencils to distribute among her 7 friends equally. However, after giving each friend an even number of pencils, she was left with 4 pencils. How many pencils did each friend receive, and how many pencils did Sara have initially?