Long Division With Remainders

Generate a free printable long division with remainders worksheet. Every problem is guaranteed to leave a remainder — 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

Dividend (digits)

Divisor (digits)

Remainders

Number of problems

Instructions

Include solution page

Paper format:

A4 Letter

Advanced Mode

Why Practise Long Division With Remainders?

A remainder is what is left over when a number does not divide exactly — and students frequently stumble at this final step. They may forget to check whether the last subtraction reaches zero, or they may not know how to write and interpret a non-zero remainder. Dedicated practice on remainder problems fixes both gaps.

Because every problem on these worksheets is guaranteed to produce a non-zero remainder, students cannot develop the habit of ignoring that step. The answer key shows the remainder in the standard R notation so teachers and students can check their work at a glance.

How to Write a Remainder

Complete all divide, multiply, and subtract steps as normal.
When you reach the last subtraction and the result is smaller than the divisor, that result is the remainder.
Write the quotient above the line, then add R followed by the remainder number. For example: 865 ÷ 8 = 108 R1.
Check by multiplying: quotient × divisor + remainder should equal the dividend.

Related Long Division Worksheets:

Long Division Without Remainders
Build the core algorithm with problems that divide exactly.
Long Division Worksheets
The general generator — mix remainder and exact problems freely.
2-Digit Divisor Worksheets
Combine 2-digit divisors with remainders for a harder challenge.

FAQ — Long Division With Remainders Worksheet

Why should students practise long division with remainders specifically?

Many students learn the algorithm using exact division problems first, then struggle when they encounter remainders in tests. Targeted practice removes that gap and makes the remainder step automatic rather than surprising.

How do you write a remainder in long division?

Write the quotient above the line, then write the letter R followed by the remainder. For example, 865 divided by 8 gives quotient 108 with remainder 1, written as 108 R1. You can check the answer by calculating 108 x 8 + 1 = 865.

Does the worksheet include an answer key?

Yes. Enable the "Include solution page" toggle before downloading. The answer key shows the full quotient and remainder in R notation for every problem.

What grade level is this suitable for?

Long division with remainders is typically introduced in Grade 4 and practised through Grade 6. Use 1-digit divisors and 3-digit dividends for Grade 4, and increase the size for Grades 5-6.