Long Division With Two-Digit Divisors
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Prints on one US Letter page; the answer key is a separate page. Print at 100% / "Actual size" on US Letter paper. Free for personal and classroom use. Version 1 of 10. Choose another version.
Skill: Dividing 3- and 4-digit numbers by 2-digit divisors, with remainders
10 versions, each with its own answer key
Same skill and layout, a fresh set of problems in every version, so children can keep practicing without repeating a page. Problems are not repeated between versions unless a skill has only a small number of possible problems (for example, the addition facts within 10).
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About this worksheet
Long division with two-digit divisors is one of the biggest steps in fifth-grade math. Students must estimate each digit of the quotient, multiply, subtract, and bring down the next digit while keeping every column lined up. This fifth-grade worksheet gives nine problems with three- or four-digit dividends and two-digit divisors from 12 to 79. Every quotient has at least two digits, and many problems have a remainder, which students write with an R, such as 48 R7.
Only nine problems fit on the page so that each one has generous room for the full written method. Divisors are never multiples of ten, so students practice real estimation instead of shortcuts.
How to use it: before dividing, round the divisor to the nearest ten to estimate each quotient digit. For 1,836 ÷ 42, think 40: how many 40s are in 183? If the product is too big, lower the digit by one. Writing a short list of multiples of the divisor beside the problem saves time. Check each answer by multiplying the quotient by the divisor and adding the remainder.
The answer key lists every quotient and remainder. This worksheet supports Common Core standard 5.NBT.B.6 (find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and the relationship between multiplication and division). Practice our Long Division, 1-Digit Divisors worksheet first if this feels too hard.
