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Long Division Without Remainders

Generate a free printable long division without remainders worksheet. Every problem divides exactly — download an 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:

Why Start With Exact Division?

When students encounter long division for the first time, every step of the algorithm is new and requires attention. Adding a remainder on top of that creates two unfamiliar ideas at once. Starting with exact division — where the last subtraction always reaches zero — lets students focus on the core sequence without the extra complexity.

Once the divide, multiply, subtract, bring-down pattern is automatic, introducing remainders becomes a small and natural extension rather than an entirely new skill.

How to Use the Worksheet

  1. Every problem on this worksheet divides exactly. The final subtraction will always give zero.
  2. Write the quotient digit above the line for each step.
  3. If you reach a remainder of zero before bringing down all digits, write zero in the quotient for that step and continue.
  4. Check by multiplying: quotient × divisor should equal the dividend exactly.

Related Long Division Worksheets:

FAQ — Long Division Without Remainders Worksheet

Why practise long division without remainders?

 Exact division lets students concentrate on learning the four-step algorithm — divide, multiply, subtract, bring down — without the added complication of a remainder. It is the standard starting point for Grade 3-4 long division instruction.

How does the generator ensure there is no remainder?

 The generator constructs each problem by first picking a divisor and a quotient, then computing the dividend as their product. This guarantees exact division every time.

Does the worksheet include an answer key?

 Yes. Enable the "Include solution page" toggle before downloading. The answer page shows the quotient above each bracket.

What grade level is this suitable for?

 Long division without remainders is typically introduced in Grade 3-4 using 2- and 3-digit dividends with single-digit divisors. The generator lets you scale up to 4-5 digit dividends for older students.