Practice Long Division
Master 4-digit by 1-digit long division with remainders and learn to interpret remainders in word problems.
Long division is often the most challenging skill in fourth grade — but it's also one of the most important. The ability to divide multi-digit numbers is essential for fractions (simplifying, converting to decimals), ratios, and eventually algebra. A child who struggles with long division will hit a wall in fifth grade fractions.
Our division worksheets start with 2-digit by 1-digit problems and progress to 4-digit by 1-digit, always with clear step-by-step practice. The fourth grade math hub offers more resources for a complete curriculum.
Build understanding with the standard algorithm
Use blocks to show sharing. For 372÷3: share 3 hundreds (1 hundred each), 7 tens (2 tens each, 1 ten left), exchange leftover ten for 10 ones (12 ones total), share 12 ones (4 ones each). Result: 124.
Subtract multiples of the divisor. For 372÷3: 3×100=300 (subtract, left 72), 3×20=60 (subtract, left 12), 3×4=12 (subtract, left 0). Add quotients: 100+20+4=124.
Divide, Multiply, Subtract, Check, Bring down (DMSB). This is the goal for fluency. Practice each step separately before combining.
2-digit and 3-digit by 1-digit with no remainders. Perfect for learning the algorithm steps.
3-digit and 4-digit by 1-digit with remainders. Introduces remainder handling.
Word problems with remainder interpretation. For end-of-year mastery.
For some children, the gap isn't in practice — it's in the conceptual foundation that makes long division make sense. If your child can't explain what the remainder means or forgets steps in the algorithm, worksheets alone won't bridge that gap. Our Multiplication & Division Foundations course (grades 3–5) covers the full progression from sharing through long division. You can also browse all available courses and planners on the resources page.
View Multiplication & Division Foundations — $57Everything you need to know about teaching fourth grade division
By the end of fourth grade, students should divide multi-digit numbers (up to 4-digit dividends) by 1-digit divisors using the standard algorithm. This includes understanding remainders and interpreting them in word problems.
Use the mnemonic "Does McDonald's Sell Cheese Burgers Raw?" (Divide, Multiply, Subtract, Check, Bring down). Start with problems that have no remainders, then introduce remainders. Use base-ten blocks first to build understanding.
In word problems, remainders can be handled three ways: ignore them (how many full groups?), round up (need one more), or express as a fraction (remainder as part of a whole). Teaching all three interpretations is essential.
Long division requires multiple steps and organization. The most common errors are forgetting to bring down digits, subtracting incorrectly, or placing digits in the wrong place. Slow down and check each step before moving to the next.
8-10 long division problems per day is enough. Long division is mentally demanding. Focus on accuracy, not speed. Mix problems with and without remainders.
Mastery means your child can: 1) divide 4-digit numbers by 1-digit divisors accurately, 2) interpret remainders in word problems, 3) check division using multiplication, 4) explain the steps of the algorithm, and 5) estimate quotients to check reasonableness.
Generate custom division worksheets for your fourth grader. Choose difficulty, remainder types, and download clean PDFs with answer keys.
Free • No registration required • 10 worksheets per day