Long division is an important math skill that is typically introduced around 3rd grade or 4th grade depending on a student’s fluency with basic division facts. These long division worksheets will help build confidence gradually when you’re ready!
Long division is a special milestone because it requires using several steps, an algorithm, that incorporates not only basic math facts from addition, subtraction and multiplication, but also because it requires a certain amount of intuition and problem solving. Even multi-digit multiplication is fairly mechanical compared to the skills necessary to solve a long division problem by hand.
These long division worksheets provide problems of varying levels of difficulty to ease into this process gently. Especially if you are introducing long division in 3rd grade, you’ll find the range of complexities in the sheets a gentle introduction to this often fearsome math subject!
Long division worksheets that do not produce quotients with remainders. When you are first learning the long division steps, these worksheets are the place to start.Long Division Worksheets without Remainders
These long division worksheets have quotients with remainders. Each worksheet includes detailed, expanded answers that show how to do long division step by step.Long Division Worksheets with Remainders
Worksheets with the world's longest long division problems! Practice with these will banish the fear of the long division monster!Monster Long Division Worksheets
Long division worksheets with problems focusing on factors of ten, with and without remainders. Working these problems can build slightly different skills such as dropping zeroes to solve problems, which is slightly different from the steps for long division traditionally but still reinforces the same concepts.Division by Factors of Ten
These long division worksheets focus on factors of 25. There are two groups of worksheets, including sets with remainders and sets without remainders.Division by Factors of 25
Long division worksheets with multiple-digit divisors, sets with and sets without remainders. This worksheets start with simple problems that help master multiple digit divisors and build confidence before progressing to more difficult long division problems.Long Division Worksheets with Multi-Digit Divisors
Practice worksheets for division with fractional results expressed as decimals, including long division worksheets with hundredths (especially suited for learning division of amounts of money).Long Division Worksheets with Decimal Quotients
Learning how to do long division is a critical milestone in mathematics education. Long division, like longer multiplication, requires several steps to calculate an answer. However, long division is one of the first procedures where finding the correct answer may require some trail and error approaches or experimentation. Often determining the correct next step in a long division problem, especially multiple digit long division, may require making an ‘educated guess’ to determine the next digit for the quotient. Checking that guess in the multiplication step of the long division algorithm is critical, insuring that the result at that stage of problem is less than the actual divisor. Many students struggle with these more complicated procedures, and that often makes long division feel like more of a challenge than it should. Throw in long division with remainders or long division with decimals, and the landscape truly becomes a minefield of frustration.
The long division worksheets in this section of the site are designed to introduce various topics gradually, so that long division skills are built incrementally and areas of difficulty can be reinforced without creating a dread of long division problems. Learning how to do long division brings in to play many steps, including multiplication and subtraction as well as basic understanding of the division facts. As long as students begin with a strong mastery of the prior math operations, long division can be an opportunity to show off their results of their hard work on previous parts of their mathematical journey.