Free Division Worksheets
Division is the inverse of multiplication and a skill that students use throughout math and daily life — from splitting items into equal groups to calculating rates and ratios. These worksheets cover division in all its forms: basic division facts, long division with multi-digit dividends, dividing fractions using reciprocals, and decimal division with careful decimal placement. Each worksheet includes a complete answer key for easy grading or self-checking.
Skills Covered
- Basic division facts (inverse of times tables)
- Long division with single-digit and multi-digit divisors
- Dividing fractions using reciprocals (multiply by the inverse)
- Dividing mixed numbers
- Decimal division with whole-number and decimal divisors
- Interpreting remainders in context
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- Division Facts (1-10) Easy
- Division Facts (1-5) Easy
- Dividing by 10 and 100 Medium
- Division Facts (1-12) Long Division Format Medium
- Division Facts (1-12) Symbol Format Medium
- Long Division: 2-Digit by 1-Digit (No Remainder) Medium
- Long Division: 3-Digit by 1-Digit (No Remainder) Hard
- Long Division: 3-Digit by 2-Digit (No Remainder) Hard
- Long Division: 4-Digit by 1-Digit (No Remainder) Hard
- Long Division: 4-Digit by 2-Digit (Ultimate) Hard
÷ Fractions - Division
÷ Decimals - Division
From Division Facts to Long Division
Division begins with understanding the relationship between multiplication and division: if 6 × 7 = 42, then 42 ÷ 7 = 6. Students who have strong multiplication facts will find basic division facts much easier to master. From there, long division introduces a multi-step algorithm — divide, multiply, subtract, bring down — that requires patience and practice. Our whole-number division worksheets guide students through this progression, starting with simple one-digit divisors and advancing to multi-digit divisors where each step of the algorithm is critical.
Dividing Fractions: Keep, Change, Flip
Dividing fractions can seem counterintuitive at first: how can dividing by a fraction give you a larger number? The key is understanding that dividing by a fraction asks "how many groups of this fraction fit into the dividend?" The procedural shortcut — keep the first fraction, change division to multiplication, flip the second fraction — is simple to remember, but students benefit from understanding why it works. Our fraction division worksheets build this understanding through carefully sequenced problems, from straightforward fraction-by-fraction division to dividing mixed numbers.
Decimal Division: Handling the Decimal Point
Dividing decimals requires an extra step: if the divisor is a decimal, students must move the decimal point to make it a whole number, then move the decimal point in the dividend the same number of places. This transformation turns every decimal division problem into a whole-number division problem. Our decimal division worksheets systematically practice this technique, including problems with whole-number divisors (where the decimal simply rises into the quotient) and decimal divisors (where the transformation step is essential).
Frequently Asked Questions
How can I help my child learn long division?
Break the algorithm into its four repeating steps: divide, multiply, subtract, bring down. Practice each step individually before combining them. Start with small dividends and single-digit divisors, and let your child use multiplication tables as a reference until the facts are automatic. Consistent daily practice with worksheets is one of the most effective ways to build long division fluency.
What does "keep, change, flip" mean in fraction division?
It is a memory aid for the fraction division procedure. Keep the first fraction as it is, change the division sign to multiplication, and flip the second fraction (take its reciprocal). Then multiply across. For example, 3/4 ÷ 2/5 becomes 3/4 × 5/2 = 15/8 = 1 7/8.
How do you divide by a decimal number?
Move the decimal point in the divisor to the right until it becomes a whole number, then move the decimal point in the dividend the same number of places to the right. Now divide as you normally would with whole numbers and place the decimal point directly above its position in the adjusted dividend. For example, 4.56 ÷ 0.3 becomes 45.6 ÷ 3 = 15.2.