Division Worksheet Generator – Facts, Remainders, Answers

How to make it

Limit the divisorDivide by up to 5, 9, 10 or 12. Divisors start at 2, so the sheet never wastes space on dividing by one.
Limit the answersSet quotients up to 5, 10, 12 or 20, and tick With remainders when children are ready for answers like 7 R 3.
Print the factsThirty problems is the default, in rows of three; slide between 1 and 40, then print the sheet with its key.

How the facts are built

Each problem starts from a multiplication fact. The generator picks a divisor between 2 and your Divide by up to setting and a quotient between 1 and your Answers up to setting, multiplies them, and shows the result as a division: 6 × 9 becomes 54 ÷ 6 =. That is why every exact problem divides evenly, and why the answers never exceed the limit you set. Problems are written in rows, such as 72 ÷ 8 =, with an answer line after the equals sign.

With remainders ticked, a remainder smaller than the divisor is added to the dividend, so 54 becomes something like 57, and the key reads 9 R 3. The remainder can also be zero, which means a remainders sheet still contains some exact problems, and children have to decide each time whether anything is left over.

Answers up to 20 goes past the usual tables on purpose. A problem such as 96 ÷ 6 = 16 cannot be recalled from the chart; a child has to split it into 60 ÷ 6 and 36 ÷ 6. It is a good bridge to written methods.

Fact families: thinking in multiplication

The fastest route to division facts is through multiplication. The numbers 6, 7 and 42 form a family: 6 × 7 = 42, 7 × 6 = 42, 42 ÷ 6 = 7 and 42 ÷ 7 = 6. When a child sees 42 ÷ 7, the question to ask is what times 7 makes 42. Children who know their tables well usually find division facts come quickly once they make that link, and children who do not will find each division a slow puzzle.

Division also has two meanings that are worth naming. Sharing asks how many each person gets when 42 crayons are shared among 7 children. Grouping asks how many groups of 7 can be made from 42. Both give 6, but young children often understand one before the other, so story problems of both kinds help. Before a division sheet, check the matching tables with multiplication facts practice or a partly blank multiplication chart.

Remainders and what they mean

When 23 counters are shared among 4 children, each gets 5 and 3 are left. On the sheet that is 23 ÷ 4 = 5 R 3. The rule children must hold on to is that the remainder is always smaller than the divisor. If a child writes 23 ÷ 4 = 4 R 7, there are enough counters left for everyone to get one more, so the answer is not finished.

In real problems, the remainder needs a decision. If 23 children travel in cars that seat 4, six cars are needed, not five, because the three children left over still need a ride. If 23 cookies are shared among 4 plates, each plate gets five and three are left over for later. Later in school the remainder becomes a fraction or a decimal, which is where fraction worksheets take over.

Settings for each grade

Third grade in the US is where division facts usually begin, alongside multiplication, and US and Canadian sheets (those that open on Letter) show CCSS 3.OA.C.7, fluent division within 100, whenever remainders are off and the two limits keep every dividend within 100, as divisors up to 10 with answers up to 10 do. Remainders, or limits that reach past 100, go beyond that standard: with divisors up to 5 or 9 the footer then shows CCSS 4.NBT.B.6, and with divisors up to 10 or 12 it shows no code. Start with Divide by up to 5 and Answers up to 5, move to divisors up to 10 with answers up to 10, and only then add the 11s and 12s. Fourth grade reviews the facts and brings in remainders, which prepares the multi-digit division that comes later.

In England, division by 2, 5 and 10 usually appears in Year 2, by 3, 4 and 8 in Year 3, and by every number up to 12 in Year 4, alongside the tables. Australian classes typically practice division facts across Years 3 and 4 and meet remainders more formally around Year 5. Use those as a rough map and follow the order your school teaches the tables, since division sheets work best when they trail one table behind multiplication.

Short division and the bus stop

Once facts are secure, children move on to dividing larger numbers by a one-digit divisor. Many UK schools call this short division and draw it in the bus stop: the divisor waits outside, the dividend shelters under the roof, and the answer is written on top. For 84 ÷ 3, 8 tens divided by 3 is 2 tens with 2 tens left; the 2 is written small beside the 4 to make 24, and 24 ÷ 3 = 8, so the answer is 28.

This page prints facts in rows rather than the bus stop shape. For that layout, open the long division generator and choose a one-digit divisor: the bracket is the same shape, there is room to write the small carried digits, and the key gives the quotient and remainder.

Common errors and how long to make the sheet

Watch for children who read the problem backwards and try to divide the divisor by the dividend, who give a remainder as large as or larger than the divisor, or who drop the remainder entirely and write 5 for 23 ÷ 4. Plain fact errors, such as 56 ÷ 8 = 6, usually trace back to the matching multiplication fact. The pink key shows the expected quotient, and on remainders sheets the R part too, so a parent can see at a glance which kind of error it was.

Teach a self-check that works on every problem: multiply the answer by the divisor and add the remainder, and you should land back on the dividend. For 23 ÷ 4 = 5 R 3, that is 5 × 4 + 3 = 23. Children who run this check on three or four problems before handing in the sheet catch many of their own slips, and the key becomes confirmation rather than the first time they hear about a mistake.

For a warm-up, 10 to 15 facts on one or two divisors. Thirty, the default, is a full practice page and fits on a single sheet. Forty works as a fluency check once all the divisors are learned. Print a New variant for a second attempt rather than the same page, so children practice the facts and not the order of the answers.

Questions

How do I make division worksheets with remainders?

Tick With remainders. Each problem then has a remainder between zero and one less than the divisor, so most problems leave something over and a few divide exactly. The answer key writes results as 9 R 3. Leave the box unticked for sheets where every problem divides evenly.

Can I make division facts worksheets from 1 to 12?

Set Divide by up to 12 and Answers up to 12, and the sheet draws from every division fact in the 12 by 12 tables except dividing by one, since divisors start at 2. For a sheet focused on harder facts, raise the divisor limit while keeping answers to 10.

What is bus stop division?

It is the name many UK schools use for short division, written with the divisor outside a bracket that looks like a bus shelter and the dividend underneath. Digits are divided from left to right and remainders are carried as small digits. The long division page prints this bracket layout with a one-digit divisor.

What grade learns division facts?

In the US, division facts are usually taught in third grade alongside multiplication, which is why US sheets with answers up to 10 show CCSS 3.OA.C.7. In England they are learned with each table in Years 2 to 4, and in Australia mostly across Years 3 and 4.

Why are there no problems that divide by 1 or give 0?

Divisors start at 2 and quotients start at 1, because dividing by 1 or getting zero adds problems that need no thought and crowds out the facts children are learning. Explain those two rules once with a few examples on the board; the mixed facts page includes zero if you want it on paper.

Does the answer key show remainders?

Yes. On sheets with remainders the key gives each answer as a quotient and remainder, such as 7 R 2, or just the quotient when the problem divides evenly. On exact sheets it shows the quotient only. The key prints after the worksheet and carries the same sheet number.