Long Division with Remainders Worksheets 4th Grade

Introducing our comprehensive collection of long division with remainder worksheets, designed specifically for 4th-grade students. These worksheets provide ample practice opportunities for young learners to strengthen their understanding of this essential mathematical concept. With clear instructions and engaging exercises, our worksheets ensure that students grasp the fundamental principles of long division while honing their problem-solving skills. Teachers and parents can use these worksheets to improve children's understanding of math concepts. Whether in the classroom or at home, our long division worksheets are the perfect learning tool to support elementary school students, especially 4th grade students, on their journey to mastering division and building a solid foundation in mathematics.

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Enhance your child's understanding of Long Division with Remainders with these useful 4th Grade worksheets, designed to make learning more engaging and effective.

Solve the complex division problem with these Long Division with Remainders Worksheets 4th Grade!

What is Division?

In mathematics, there are four foundation formulas to solve every numerical problem, known as arithmetic operations. There are four basic arithmetic operations.

• Addition
• Subtraction
• Multiplication
• Division

Young students will learn all these operations in elementary school. Even though there are four operations, they have various variations for each. Mastering the basic arithmetic operations will help young learners with more advanced mathematical problems in later education.

In this article, we will talk about division. In the mathematical sense, a division is a method of breaking a number into two similar amounts. The symbol of this formula consists of a horizontal line with two dots above and below it (÷) or a slash (/).

There are two popular types of division operations, partitive and quotative. The division has three parts or elements; dividend, divisor, and quotient. There are two strategies to solve the division, short and long division.

What is Long Division?

Long division is one of the strategies for solving mathematical division problems. Many mathematicians recommend using this method to solve a complicated division with two or more numbers. It also can be used to work on the questions with decimal numbers and to calculate the remainder of a division.

According to David Klein from California State University, learning long division helps students build conceptual grounds for mathematics. The long division has three elements that help students understand the context; dividend, divisor, and quotient.

• The dividend is a number to be divided.
• Divisors are the number that divides the dividend.
• The quotient is the final result of the problem.

The long division also has another element called the remainder. The long division does not use the slash (/) or division sign (÷). Instead, it uses the right parenthesis < ) > and a horizontal line. The mathematicians refer to these signs as a long division symbol or a division bracket.

What are The Types of Long Division?

In mathematics, long division is a method for dividing large numbers into smaller groups. It simplifies complex mathematical problems into several easy steps.

Understanding the context of long division will help students to develop their numerical skills and brain capacity. In Long division, there are some methods to solve mathematical problems.

• Digit-based method
• Chunking method
• Bidirectional chunking method
• Freeform method
• Negative divisor problem
• Scaling division.

What are Remainders?

When solving division, sometimes we cannot divide all the numbers perfectly. There is an excess value of the division process called the remainder. For example, when we divide ten (10) by four (4), we can only divide it into two parts, and there is an excess number (2). We can write the problem as 10: 4 = 2 R2.

The letter "R" is the symbol of the remainder. To use it, write the capital "r" and put the remainder number after it. Based on the statement by Sebastian Pauli from the University of North Carolina, the definition of the remainder is the leftover number from the division of a number by b number.

The rule method for this problem is "dividend - (divisor x quotients) = remainder". There are various techniques for writing the remainder. Using whole numbers or a fraction are two examples of the method.

Most people use the whole number method. However, you can use whatever you want. Writing the remainder as a fraction is relatively simple.

Put the leftover number as a numerator and the divisor as the denominator. The part of the result and the excess number are dividend and divisor (dividend-per-divisor). 

How to Solve a Long Division with Remainders Problem?

In learning long division, some students struggle because of the complexity of the problem. It is one of the challenges that teachers face in the classroom. Plus, some students already felt demotivated when they entered the math class.

To overcome this problem, math teachers should be creative in teaching. Below are the steps for solving long division: 

1. Arrange the long division set-up by writing the divisor outside the dividing box and the dividend inside.
2. Start to split the dividend by the divisor.
3. Multiply the incomplete result number with the divisor.
4. Examine and analyze the differences and ensure it should be in a smaller number than the divisor.
5. Pull down the next number on the dividend and repeat the first step.

How to Use Long Division with Remainders Worksheets?

You can use the Long Division with Remainders Worksheet to solve a long division with remainders problem. What is it?

Long Division with Remainders Worksheet is a worksheet designed for students to help them solve the division with remainders problems. There are many types of this worksheet. However, many teachers and parents use Long Division with Remainders Worksheets 4th Grade.

That's because 4th grade students need those worksheets to help them solve the long division with remainders problems on their curriculum. With regular practice, the 4th grade will master it and can solve many long-division questions.

A division is a method of breaking a number into two similar amounts. There are two strategies to solve the division, short and long division. When solving division, sometimes we cannot divide all the numbers perfectly. There is an excess value of the division process called the remainder.

To solve long division with remainders problems, 4th grade students need Long Division with Remainders Worksheets 4th Grade. These worksheets will help students to solve the complex mathematical question and prepare them for future education.