Division · Grades 36

Division Worksheets

Basic facts through long division with remainders. Division worksheets that lean on the multiplication a student already knows: what times 6 gives 42?

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What it is

Division splits an amount into equal groups, or finds how many groups fit.

Why it matters

Division consolidates multiplication understanding and is essential for fractions, averages, unit rates, and real-world sharing problems.

How to do it

  1. Ask: how many times does the divisor fit into the dividend?
  2. Use a multiplication fact in reverse to find it.
  3. Anything left over is the remainder.

Examples by level

  • Beginner2 ÷ 1 =2
  • Intermediate13 ÷ 3 =4 R 1
  • Advanced421 ÷ 31 =13 R 18

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

  • Confusing the dividend and divisor.
  • Dropping the remainder or mishandling it.
  • Losing place-value alignment during long division.

Tips

  • Dividing by 1 leaves the number unchanged.
  • You cannot divide by 0.
  • Division undoes multiplication.

For parents

Connect division to multiplication: ask 'what times the divisor gives this number?' to turn a division fact into a known multiplication fact.

For teachers

Introduce remainders concretely (leftover objects) before formal notation so 'R' isn't just a symbol.

Key vocabulary

dividend
the number being divided
divisor
the number you divide by
quotient
the result

Frequently asked questions

What is long division?
Long division is the step-by-step algorithm (divide, multiply, subtract, bring down) used for dividing by larger numbers.
When are remainders introduced?
Remainders typically appear around Grade 5 once basic division facts are secure.

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