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21 days of guided reading practice for little learners.
Ages 4–7 · English · Printable PDF
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Division problems built backwards from known multiplication facts, so every question is solvable by a child who knows their tables. Turn remainders on when the class is ready for them.
A few things worth knowing before you print a stack of them.
Every problem starts as a multiplication fact and is then reversed, so a child who knows their tables can always reach the answer. That matters: randomly generated division produces awkward numbers that test calculation rather than recall.
Remainders are a genuinely new idea, not harder arithmetic. Keep a sheet exact until the operation is secure, then switch remainders on so the new concept arrives on its own.
Twelve divided by three can mean share twelve between three, or how many threes are in twelve. The answer matches; the mental picture does not. Sharing suits problems about people and portions; grouping is what underlies the written method, remainders and later fractions. Children taught only sharing often stall at long division because the procedure is built on the grouping picture they were never given.
If every division on every sheet comes out exactly, children build a quiet expectation that division always does — and treat a remainder as evidence they got it wrong. Introducing remainders sooner than feels comfortable prevents that, and it makes the connection to fractions and decimals available when you want it, since a remainder is the part that has not been divided yet.
A child who is shaky on the 7 times table will manage multiplication questions by working upwards from a fact they do know. Division gives them nothing to climb from — asked for 56 ÷ 7 they need the fact itself. So a sudden collapse in division accuracy is usually a multiplication problem wearing a different hat, and the fix is a tables sheet, not more division.
Asking roughly how many before starting catches the order-of-magnitude errors that make long division answers absurd. A child who expects about twenty and writes 4 notices. One who has no expectation does not, and their answer can be ten times out with the working looking tidy. Building this habit is worth more than extra questions.
A number is divisible by 3 if its digits sum to a multiple of 3, by 4 if its last two digits are, by 9 if its digits sum to 9. These are not tricks but structure, and they turn a page of trial division into a page of quick checks. Teach two or three and use a sheet to practise choosing between them.
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Yes, switch on Allow remainders. The answer key prints them as, for example, 17 divided by 5 equals 3 r2.
By default yes, because each problem is built from a multiplication fact. Remainders only appear if you enable them.
Yes, use the table focus field the same way as the multiplication generator.
Both, and say they are the same operation. Sharing is the more intuitive picture for young children; grouping is the one the written method, remainders and fractions are all built on, so a child taught only sharing tends to stall when long division arrives.
Earlier than most schemes do. If every division comes out exactly for months, children learn to treat a remainder as a mistake. Meeting them early keeps division honest and opens the route to fractions, since a remainder is simply the part not yet divided.
Usually because their tables are not secure. Multiplication lets you work upwards from a fact you know; division does not give you that foothold. If division accuracy drops suddenly, print a multiplication facts sheet before printing more division.
Yes — the generator can keep every division exact, which is the right setting while the method is being taught. Switch remainders on once the procedure is secure, so they are met as a normal outcome rather than as a surprise.
Addition
Sums in vertical columns or horizontal rows, with carry control.
Subtraction
Take-away problems with optional borrowing and negative results.
Addition & Subtraction
Both operations shuffled together — the way real tests mix them.
Multiplication
Times tables with a focus option — drill one table or mix them all.
Addition & Subtraction Fact Families
Three numbers, four related facts — the inverse relationship made visible.
Multiplication & Division Fact Families
The same idea for × and ÷ — the fastest route to division fluency.