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Long Division 3-Digit Divisors

Generate a free printable long division worksheet with 3-digit divisors. Advanced practice requiring careful estimation — instant PDF with optional answer key.

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Free printable long division worksheet generator
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Create a Long Division Worksheet

Difficulty
Easy: 3-digit ÷ 1-digit  ·  Medium: 4-digit ÷ 1-digit  ·  Hard: 5-digit ÷ 2-digit
Include solution page
Paper format:

Advanced Long Division Practice

Three-digit divisor long division is the most demanding form of the standard algorithm taught at primary and lower secondary school. The estimation step becomes more involved: students must round a three-digit divisor, form a trial quotient, multiply, and often make two or three adjustments before finding the correct digit.

These worksheets give students generous working space to trial-multiply and correct their estimates without running out of room. The optional answer key lets teachers identify exactly where in the process a student is going wrong.

How to Approach 3-Digit Division

  1. Round the divisor to the nearest hundred (e.g. treat 347 as 300) to form a quick estimate of the quotient digit.
  2. Multiply your trial digit by the full divisor — not the rounded version — to check the product.
  3. If the product exceeds the working portion of the dividend, reduce your estimate; if the remainder after subtracting equals or exceeds the divisor, increase it.
  4. Subtract, bring down the next digit, and repeat until all digits have been brought down.

Related Long Division Worksheets:

FAQ — Long Division 3-Digit Divisors Worksheet

How do I teach long division with 3-digit divisors?

 The key is making the estimation step explicit. Teach students to round the divisor to the nearest hundred, use that rounded number to guess the quotient digit, then multiply by the exact divisor and adjust. Practise the rounding and adjustment separately before combining the full algorithm.

What grade level is this suitable for?

 3-digit divisor long division typically appears in Grade 6-7. It requires solid fluency with 2-digit division as a prerequisite. Use 4- to 6-digit dividends to ensure the problem has multiple steps.

Does the worksheet include an answer key?

 Yes. Enable the "Include solution page" toggle before downloading. The quotient and remainder appear above the bracket on the answer page.

How many different worksheets can I generate?

 Every click of the Create button generates a completely new set of randomly chosen problems, so the number of unique worksheets is practically unlimited.