Division with Remainders Practice
20 questions · 60 seconds · 2-digit dividends, answers like 7 R 3
Free · no login · instant feedback on every answer
Move past perfect answers: division with remainders asks what happens when numbers don't divide evenly. Each question divides a 2-digit number by a 1-digit divisor, and the answer includes whatever is left over — 47 ÷ 6 is 7 R 5, because six sevens make 42 and 5 remains.
Most questions leave a remainder, but some still divide evenly — so there is no shortcut around actually doing the division. That mix is deliberate: real long division serves up both kinds, and the habit of checking "is anything left over?" is exactly what this drill builds. It is the bridge between division facts and the full long division algorithm.
Tips That Make It Stick
- Find the nearest fact below. For 47 ÷ 6, run the 6s table to the biggest product that fits: 6 × 7 = 42. The quotient is 7, and 47 − 42 = 5 is the remainder.
- The remainder must be smaller than the divisor. If you get 47 ÷ 6 = 6 R 11, the 11 still has a whole 6 inside it — the quotient was too small. A remainder equal to or bigger than the divisor always means "divide one more time."
- Check with multiply-and-add. Quotient × divisor + remainder should rebuild the dividend: 7 × 6 + 5 = 47. ✓ This one-line check catches nearly every slip.
Frequently Asked Questions
What is a remainder in division?
The amount left over when a number cannot be divided evenly. Dividing 47 by 6 gives 7 groups of 6 (42) with 5 left over, written 7 R 5. The remainder is always smaller than the divisor.
What grade learns division with remainders?
Remainders are introduced in 4th grade alongside long division, and stay in use through 5th and 6th grade as dividends grow. Later, the same leftover idea returns as decimal quotients and modular thinking.
How do I enter an answer like 7 R 3?
Every question shows four answer choices — tap the one with the right quotient and remainder. Watch carefully: some questions divide evenly, so their correct answer is a plain number with no R.
📝 Matching Printable Worksheets
Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key: