How it works
Free short division worksheets for the bus stop method. The page opens on 3-digit by 1-digit, like 852 ÷ 6 = 142; the menu runs from 98 ÷ 7 to 94,716 ÷ 6.
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How short division works
Write the divisor outside the bracket and work from the left, one digit at a time. For 852 ÷ 6, 6s into 8 go once with 2 over. Write 1 on the bar and a small 2 beside the 5. 6s into 25 go 4 times with 1 over, and 6s into 12 go twice. The answer is 142, with nothing written underneath.
The three examples in England's curriculum
England's curriculum prints three worked short divisions: 98 ÷ 7, 432 ÷ 5 and 496 ÷ 11. Each has a sheet here: 2-digit by 1-digit, one carried digit, 3-digit by 1-digit with remainders and Short division by 11 and 12.
- First digit too small to divide fixes a misplaced first digit: 252 ÷ 7 is 36, not 360.
- Facts with a remainder: the carrying step makes a good starter: every digit of a short division is one.
- Zero in the answer catches a common slip: 728 ÷ 7 is 104, and without the 0 it reads 14.
Questions and answers
What is the bus stop method?
Bus stop is a nickname for the division bracket, so the bus stop method is short division. England's curriculum calls it the formal written method of short division and never uses the nickname.
What is the difference between short and long division?
Long division writes each product and subtraction under the dividend. Short division does those in the head and writes only what is left, as a small digit beside the next one. England's curriculum asks for it with a one-digit divisor.
What year do pupils learn short division?
In England, Year 4 for exact answers, Year 5 for up to 4 digits with remainders, and Year 6 for 2-digit divisors where appropriate. US standards do not name it: Common Core 4.NBT.6 sets the same sizes in grade 4 and leaves the method open.
How do you write a remainder in short division?
After the answer: 432 ÷ 5 = 86 R 2. Every remainder sheet asks for that. England's guidance also writes 98 ÷ 4 as 24 r 2, 24 1/2 and 24.5; fraction and decimal sheets are not on this page yet.
Can you use short division with a 2-digit divisor?
Yes, when pupils know the multiples. Short division by 11 and 12 stays inside the tables to 12 × 12. For bigger divisors, the long layout keeps the working on paper.