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Long Division 2-Digit Divisors

Generate a free printable long division worksheet with 2-digit divisors. Build estimation and trial-multiplication skills — instant PDF with optional answer key.

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Free printable long division worksheet generator
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Difficulty
Easy: 3-digit ÷ 1-digit  ·  Medium: 4-digit ÷ 1-digit  ·  Hard: 5-digit ÷ 2-digit
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Why 2-Digit Divisors Are a Key Milestone

Moving from 1-digit to 2-digit divisors is the biggest jump in the long division curriculum. With a single-digit divisor, students can recall the quotient digit from their times tables. With a 2-digit divisor, they must estimate — pick a trial digit, multiply, check whether the product is too large or too small, and adjust. This estimation step is a genuine mathematical thinking skill, not just a procedure.

These worksheets provide structured practice at exactly that step, with enough space to try, multiply, check, and erase if needed.

How to Divide by a 2-Digit Number

  1. Look at the first two or three digits of the dividend and estimate how many times the divisor fits.
  2. Write your estimate above the line and multiply: estimate × divisor.
  3. If the product is larger than the portion of the dividend you are working with, reduce your estimate by one and try again.
  4. Subtract the product, bring down the next digit, and repeat.

Related Long Division Worksheets:

FAQ — Long Division 2-Digit Divisors Worksheet

Why is long division with 2-digit divisors harder?

 With a single-digit divisor, students recall the quotient digit directly from their times tables. With a 2-digit divisor, no times table covers every multiple, so students must estimate the quotient digit, trial-multiply to check, and adjust. This estimation step is a new cognitive skill, not just a larger calculation.

What strategy helps most with 2-digit division?

 Round the divisor to the nearest ten. For example, when dividing by 23, think "how many times does 20 go into this?" to get a quick estimate, then adjust up or down after multiplying. This mental rounding makes the trial step much faster.

Does the worksheet include an answer key?

 Yes. Enable the "Include solution page" toggle before downloading. The quotient (and remainder, if applicable) appears above the bracket on the answer page.

What grade level is this suitable for?

 2-digit divisor long division is typically a Grade 5-6 skill. Start with 3-digit dividends and 2-digit divisors, then scale to 4- and 5-digit dividends as students gain fluency.