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Long Division With Decimals

Generate a free printable long division with decimals worksheet. Every problem produces a decimal answer — download an 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
Include solution page
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Connecting Long Division to Decimal Arithmetic

The long division algorithm does not stop at the first remainder — it continues past the decimal point by appending zeros to the dividend. This extension is the same four-step sequence students already know, and practising it builds a concrete understanding of what decimal fractions actually mean.

Each problem on these worksheets is constructed using divisors that produce a terminating decimal (such as ÷2, ÷4, ÷5, or ÷8), so students can complete the calculation in a finite number of steps without encountering a repeating decimal.

How to Continue Past the Decimal Point

  1. Complete the whole-number steps of long division as normal, until you reach a remainder smaller than the divisor.
  2. Place a decimal point in the quotient above the line.
  3. Append a zero to the remainder and divide again.
  4. Repeat until the remainder is zero. The quotient is a terminating decimal.

Related Long Division Worksheets:

FAQ — Long Division With Decimals Worksheet

How does long division produce a decimal answer?

 When the last remainder is not zero, append a decimal point to the quotient and a zero to the remainder, then continue dividing. This is exactly the same algorithm — the decimal point just marks where the remainder was first extended.

Which divisors are used for these worksheets?

 The generator uses divisors of 2, 4, 5, and 8. These are the only single-digit divisors that guarantee a terminating decimal result for any integer dividend, so students can always complete the problem in a finite number of steps.

Does the worksheet include an answer key?

 Yes. Enable the "Include solution page" toggle before downloading. The decimal quotient appears above the bracket on the answer page.

What grade level is this suitable for?

 Long division with decimal answers is typically introduced in Grade 5-6 after students are fluent with the whole-number algorithm and have some familiarity with decimal place value.