Every problem on this division with remainders worksheet leaves something over, and the answer key checks each answer. The menu adds dots to ring, missing numbers, fractions, decimals and stories.
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What the remainder is
73 ÷ 9 = 8 R 1 says that 8 nines fit in 73 and 1 is left. The remainder is always smaller than the divisor: if 9 or more were left, another nine would fit. Leftover dots: ring groups of 2, 3, 4 or 5 shows this with dots. Common Core 4.NBT.6 places quotients and remainders with one-digit divisors in grade 4.
Mark with the check
Multiply the quotient by the divisor and add the remainder: 8 × 9 + 1 = 73. If that gives the dividend, the answer is right. The key prints this line under every answer on the opening sheet. Find the dividend: ___ = 8 × 9 + 1 turns the check into the question.
For 59 ÷ 7, have pupils say the sevens up to 56, then count on to 59 on their fingers.
Common Core 4.OA.3 asks what a remainder means in a story. Print the three stories sheets in turn.
Questions and answers
Is this a division with remainders worksheet with answers?
Yes. The answer key prints as the last page with every answer written as 8 R 1 and a check line under it. To print the problems alone, untick Answer key before you press Print.
How do you write a remainder?
With a capital R after the quotient: 59 ÷ 7 = 8 R 3. The 3 left over can also be written as a fraction of the divisor, 8 3/7. Two sheets practice other forms: one turns 13/4 into 3 1/4, the other finds 57 ÷ 4 = 14.25.
What grade are math worksheets division with remainders for?
Grade 4 in Common Core, with dividends of up to four digits and one-digit divisors. The dot pictures suit a first lesson on what is left over, and the fraction and decimal sheets come after it.
Can the remainder be bigger than the divisor?
No. If 59 ÷ 7 were answered 7 R 10, another 7 could still be taken from the 10. The right answer is 8 R 3. A remainder as large as the divisor means the quotient is too small.
All 17 sheet types
See what is left over 2
Leftover dots: ring groups of 2, 3, 4 or 514 dots, ringed in groups of 4: 3 rings and 2 dots left over, so 14 ÷ 4 = 3 R 2. Pupils ring the groups and count what is left. Every picture leaves at least one dot outside the rings, and the key draws the rings.
Leftover dots: ring groups of 6, 7, 8 or 9Up to 60 dots and larger groups: 34 dots in groups of 8 make 4 rings with 2 dots left, 34 ÷ 8 = 4 R 2. The dots left over are always fewer than one more group would need.
Facts with a remainder 5
2-digit quotients with a remainder: 68 ÷ 3Past the tables: 68 ÷ 3 = 22 R 2. Every quotient has two digits, from 11 to 49, so pupils divide the tens first and then the ones.
Divide by 2, 3, 4 or 5 with a remainderFacts that do not come out even: 23 ÷ 4 = 5 R 3, because 5 × 4 = 20 and 3 more make 23. Quotients run from 2 to 10, so pupils use the tables they know.
Show all 17 sheet types (13 more)
Facts with a remainder, continued
Divide by 5 only: remainders 1, 2, 3 and 4One divisor for the whole sheet, so the pattern shows: 46 ÷ 5 = 9 R 1, 47 ÷ 5 = 9 R 2, 48 ÷ 5 = 9 R 3, 49 ÷ 5 = 9 R 4, and then 50 comes out even. Dividing by 5 can leave only 1, 2, 3 or 4.
Divide by 6, 7, 8 or 9 with a remainderThe harder tables: 59 ÷ 7 = 8 R 3, because 8 × 7 = 56 and 3 more make 59. With these divisors the remainder can be as large as 8.
Divide by 9 only: remainders from 1 to 8The largest one-digit divisor leaves the widest choice of remainders: 80 ÷ 9 = 8 R 8, one short of another nine. Every problem divides by 9 and none comes out even.
The check and the missing number 4
3-digit dividends, every answer checkedTwelve larger problems such as 478 ÷ 6 = 79 R 4, with the check 79 × 6 + 4 = 478 on the key. The check is the quickest way to mark a long quotient.
Division with remainders, every answer checkedThe sheet the page opens on: 20 problems from 11 ÷ 2 up to 99 ÷ 9, each with a remainder. Under every answer the key prints its check. For 73 ÷ 9 = 8 R 1 that is 8 × 9 + 1 = 73.
Fill in the remainder: 8 × 9 + ___ = 73The dividend and the nearest multiple below it are given: 8 × 9 + 1 = 73. Pupils multiply, then count up to the dividend. What they write is the remainder of 73 ÷ 9.
Find the dividend: ___ = 8 × 9 + 1The check run forwards. The quotient, the divisor and the remainder are given, and pupils find the number that was divided: 8 × 9 + 1 = 73, so the division was 73 ÷ 9 = 8 R 1.
The remainder as a fraction or a decimal 3
Keep dividing past the point, under the bracketThe same idea set out as long division: 36 ÷ 8 = 4.5. Where the whole-number work would stop at 4 R 4, pupils write a point, bring down a zero and go on until nothing is left. Divisors are 2, 4, 5 and 8.
The remainder as a decimal: 57 ÷ 4 = 14.2557 ÷ 4 = 14 R 1, and the 1 left over is a quarter: 14.25. The divisors are 2, 4 and 5 only, whose divisions always end, so every answer has one or two decimal places and none goes on for ever.
The remainder as a fraction: 13/4 = 3 1/413 ÷ 4 = 3 R 1. The 1 left over is 1 of the 4 that another whole would need, so 13/4 = 3 1/4. Each fraction is a division waiting to be done, and the key prints the division with its remainder beside the mixed number.
Stories about the remainder 3
Stories that drop the remainder: full groups only50 flowers in bouquets of 6: 50 ÷ 6 = 8 R 2. The 2 flowers left do not make a bouquet, so the answer is 8. In every story on this sheet the answer is the quotient and the remainder is set aside.
Stories that round up: one more is needed50 campers in canoes that carry 6: 50 ÷ 6 = 8 R 2, and the 2 campers left still need a canoe, so the answer is 9. In every story on this sheet the answer is one more than the quotient.
Stories where the remainder is the answer50 cupcakes boxed in sets of 6: 50 ÷ 6 = 8 R 2, and the question asks about the 2. In every story on this sheet the answer is the remainder, which pupils who stop at the quotient will miss.
How this list was compiled: The sheet types, the stories and the worked examples were written for this page, and every worked example was computed twice by script on 2026-09-30. Where remainders sit in school was checked the same day in the full text of the Common Core State Standards for Mathematics (California Department of Education copy, https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf): 4.NBT.6 asks for whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, and 4.OA.3 for word problems in which remainders must be interpreted. Licence: own work