Learn Division

A Comprehensive Lesson with Examples and Interactive Quiz

Lesson Examples Interactive Quiz

What is Division?

Division is a basic arithmetic operation that splits a number (the dividend) into equal parts based on another number (the divisor), resulting in the quotient. It is represented by the "÷" symbol or a slash (/). For example, 12 ÷ 3 = 4, where 4 is the quotient (12 split into 3 equal parts of 4).

Division is used in everyday life, such as dividing resources, calculating averages, or determining rates.

Types of Division

• Single-digit division: Dividing a number by a single-digit divisor (e.g., 18 ÷ 3).
• Two-digit by one-digit division: Dividing a two-digit number by a single-digit divisor, with or without remainders (e.g., 45 ÷ 5).
• Three-digit by one-digit division: Dividing a three-digit number by a single-digit divisor (e.g., 615 ÷ 5).
• Four-digit by one-digit division: Dividing a four-digit number by a single-digit divisor (e.g., 7035 ÷ 3).
• Division with remainders: When the dividend is not perfectly divisible by the divisor (e.g., 20 ÷ 3 = 6 remainder 2).
• Division without remainders: When the dividend is perfectly divisible by the divisor (e.g., 12 ÷ 4 = 3).

Examples of Division

1. Single-Digit Division

18 ÷ 3 = 6

Explanation: Divide 18 into 3 equal parts. 3 × 6 = 18, so the quotient is 6.

2. Two-Digit by One-Digit Division (Without Remainder)

45 ÷ 5 = 9

Explanation: Divide 45 by 5. 5 × 9 = 45, so the quotient is 9.

45 ÷ 5 = 9
                

3. Two-Digit by One-Digit Division (With Remainder)

47 ÷ 5 = 9 remainder 2

Explanation: 5 × 9 = 45, subtract from 47: 47 − 45 = 2. Quotient is 9, remainder is 2.

   9
5)47
  45
  ---
   2
                

4. Three-Digit by One-Digit Division

615 ÷ 5 = 123

Explanation: Divide step-by-step: 6 ÷ 5 = 1 (write 1, 5 × 1 = 5, 6 − 5 = 1); bring down 1 (11 ÷ 5 = 2, 5 × 2 = 10, 11 − 10 = 1); bring down 5 (15 ÷ 5 = 3, 5 × 3 = 15, 15 − 15 = 0).

   123
5)615
   5
  ---
   11
   10
  ---
    15
    15
  ---
     0
                

5. Four-Digit by One-Digit Division

7035 ÷ 3 = 2345

Explanation: Divide step-by-step: 7 ÷ 3 = 2 (write 2, 3 × 2 = 6, 7 − 6 = 1); bring down 0 (10 ÷ 3 = 3, 3 × 3 = 9, 10 − 9 = 1); bring down 3 (13 ÷ 3 = 4, 3 × 4 = 12, 13 − 12 = 1); bring down 5 (15 ÷ 3 = 5, 3 × 5 = 15, 15 − 15 = 0).

   2345
3)7035
   6
  ---
   10
    9
  ---
    13
    12
  ---
     15
     15
  ---
      0
                

Interactive Division Quiz

Test your division skills with these 20 multiple-choice questions!

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