How to explain long division to your child in a way they will understand

long division step by step how to video

If your child is having trouble understanding long division, don't worry - you're not alone. Many kids find this concept challenging, but with a little patience and some creative teaching, they can master it. Here are some tips to help you explain long division to your child in a way they will understand. With a little practice, they'll be dividing like a pro in no time!

Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. In other words, it's the process of breaking a larger number into equal parts.

For example, if we wanted to divide 12 by 4, we would first write it as: 12÷4. The 4 is the divisor and the 12 is the dividend. To solve this equation, we would divide 12 by 4 to find that the answer, or quotient, is 3. This can also be written as 12/4 = 3.

It's important to note that division is the inverse operation of multiplication. So if we were given a division problem, we could also solve it by multiplying the dividend by the reciprocal of the divisor. For example, 12÷4 can also be written as 12 x 1/4 = 3.

When dividing by a fraction, we flip the fraction to its reciprocal and then multiply it with the dividend. For instance, if we wanted to divide 12 by 1/3, we would first convert it to 12 x 3/1 = 36. This means that 12 divided by 1/3 is equal to 36.

It's helpful to remember that division is an equal sharing or grouping operation. So if we have 6 cookies and want to divide them equally among 2 people, each person would get 3 cookies (6÷2 = 3). Similarly, if we had 12 toys and wanted to divide them into groups of 4, we would have 3 groups with 4 toys in each (12÷4 =

3).

Practicing division problems can help improve your understanding and fluency in this operation. Keep in mind the inverse relationship between division and multiplication, and always check your answer by using multiplication to solve it as well. Happy dividing!

 

Sample digital download worksheets below

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Subtraction Standard Format of 2-digits with Regrouping

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This digital download will show you how to subtract using the ruler method with two digits.