Practice Long Division with 2-Digit Divisors
Master 4-digit by 2-digit long division with remainders and learn to interpret remainders in word problems.
Long division with 2-digit divisors is often the most challenging skill in elementary math — but it is also the last major division algorithm students learn. After fifth grade, division becomes a tool used in ratios, proportions, algebra, and beyond. A child who struggles with long division will have difficulty in middle school math.
Our division worksheets start with 2-digit by 2-digit problems and progress to 4-digit by 2-digit, always with clear step-by-step practice. The fifth grade math hub offers more resources for a complete curriculum.
Master the standard algorithm with 2-digit divisors
Round the divisor to the nearest ten. For 1,372 ÷ 24, round 24 to 20. 20 × 6 = 120, 20 × 7 = 140. Try 6. If 24 × 6 = 144 (too high), reduce to 5.
Divide, Multiply, Subtract, Check, Bring down. For 1,372 ÷ 24: 24 into 137 = 5 (120), subtract 17, bring down 2, 24 into 172 = 7 (168), remainder 4.
Always check division using multiplication: quotient × divisor + remainder = dividend. For 57 × 24 = 1,368 + 4 = 1,372. This catches errors.
2-digit by 1-digit and 3-digit by 1-digit review. Build confidence before 2-digit divisors.
3-digit and 4-digit by 2-digit with remainders. Introduces 2-digit divisor estimation.
Word problems with remainder interpretation. For end-of-year mastery.
For some children, the gap is not in practice — it is in the conceptual foundation that makes long division with 2-digit divisors make sense. If your child cannot estimate quotient digits or forgets steps in the algorithm, worksheets alone will not bridge that gap. Our Multiplication and 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 and Division Foundations — $57Everything you need to know about teaching fifth grade division
By the end of fifth grade, students should divide multi-digit numbers fluently using the standard algorithm. This includes 4-digit dividends with 2-digit divisors, understanding remainders, and interpreting remainders in word problems.
The process is the same as 1-digit divisors: Divide, Multiply, Subtract, Check, Bring down. The challenge is estimating the quotient digit. For 1,372 ÷ 24, ask "how many times does 24 go into 137?" Estimate 24 × 5 = 120, 24 × 6 = 144 (too high), so use 5.
Round the divisor to the nearest ten. For 24, round to 20. For 137, 20 × 6 = 120, 20 × 7 = 140, so try 6. If 24 × 6 = 144 (too high), reduce to 5. Estimation gets better with practice.
Remainders can be handled three ways: 1) Drop the remainder (how many full groups?), 2) Round up (need one more), 3) Express as a fraction (remainder as part of a whole) or decimal. Fifth graders need practice with all three.
6-8 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 2-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 fifth grader. Choose difficulty, remainder types, and download clean PDFs with answer keys.
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