Division by One-Digit Numbers

Division by one-digit numbers is a fundamental mathematical operation that is used in many real-life situations, from calculating the cost of groceries to determining the speed of a moving object.

In this article, we will discuss the basic principles of division by one-digit numbers and provide some tips and tricks to make the process easier.

The Basics of Division

Division is the process of dividing a number into equal parts. For example, if you have 20 pencils and want to share them equally among 4 people, you would divide 20 by 4 to get 5 apples per person. The number being divided is called the dividend, the number that divides the dividend is called the divisor, and the result of the division is called the quotient.

When dividing by one-digit numbers, the process is relatively simple. For example, to divide 36 by 3, you would ask yourself how many times 3 goes into 36. The answer is 12, so the quotient is 12. You can check your answer by multiplying 3 by 12, which should give you 36.

Long Division Method

While the above example is simple, division problems can get more complex, especially when dealing with larger numbers. To solve these problems, a more structured approach called the long division method is often used.

In the long division method, the dividend is written on the right-hand side of the division symbol, and the divisor is written on the left-hand side. The process involves dividing the dividend by the first digit of the divisor, writing the quotient above the second digit, and multiplying the quotient by the entire divisor to get the remainder. This process is repeated until there is no remainder left.

Tips and Tricks

Here are some tips and tricks to make division by one-digit numbers easier:

1. Know your multiplication tables.

Division is the opposite of multiplication, so knowing your multiplication tables can make division much quicker and easier.

2. Use estimation.

Estimating can help you quickly determine the approximate quotient and check your answer for reasonableness.

3. Use divisibility rules.

Divisibility rules can help you determine if a number is divisible by a certain digit, which can make the division process easier.

4. Break the problem down.

If the dividend is a large number, you can break it down into smaller numbers and divide each one separately.


The division is one of the mathematical operations. The process involves dividing the dividend by the divisor to get the quotient. For more complex problems, we generally use the long division method. By knowing your multiplication tables, using estimation, using divisibility rules, and breaking the problem down, you can make division by one-digit numbers easier and quicker.

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