The Scaffolding Lab

All skills. Every level.

GRADE 4 · MATH · 4.NBT.B.6

Long division with remainders

Find a whole-number quotient and remainder for a dividend of up to four digits and a one-digit divisor.

This practice supports part of 4.NBT.B.6; it is not a complete assessment of the standard.

Make a free worksheet

See the generated worksheet

Actual output from this skill’s generator. The answer key comes from the same saved example.

Generated Long division with remainders student worksheet with four problems
Student page · Open to enlarge
Matching Long division with remainders answer key
Matching answer key · Open to enlarge

Try a short sample

Work out each answer and explain your method. These original examples illustrate the skill; the generator creates fresh practice.

  1. 137 ÷ 4
  2. 245 ÷ 6
  3. 319 ÷ 5
Teacher answer key
  1. 34 R1
  2. 40 R5
  3. 63 R4

Same goal, different support

With support

Begin with 17 counters shared into four groups. Connect the leftover counter to the remainder, then use partial quotients for larger numbers.

Independent practice

Solve the sample, show your method, and check your answer using a second representation or operation.

Extend the reasoning

Create a new example for the same skill. Write a plausible incorrect answer and explain how a model or calculation disproves it.

A misconception to discuss

A remainder must be smaller than the divisor. Check: divisor × quotient + remainder = dividend.

Connect the learning

Before this: Division facts within 100

Next connection: Interpret remainders