Division
Long division
Practice the written division algorithm with selected divisor and quotient widths, including exact divisions and remainder or fractional answers.
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Short division
Divide by selected single-digit divisors using a compact written method, carrying each remaining amount into the next place.
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Work from left to right. Divide each current place by the divisor, write its quotient digit, and carry any remainder into the next place before continuing.
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What this activity builds
Use short division accurately while preserving the place value of carried remainders.
Worked example
Use short division to find 168 ÷ 4.
42.
The first hundred is exchanged into tens, giving 16 tens. Sixteen tens divided by 4 is 4 tens; 8 ones divided by 4 is 2 ones. Check: 42 × 4 = 168.
Teaching notes
Make the practice count
- Say the unit of a remainder before carrying it, such as one remaining ten.
- Expand one difficult step into long division when the compact notation hides the reasoning.
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Related activities
Division
Horizontal and long division
Solve the same division fact shown side by side in horizontal and long-division notation, using selected single-digit divisors.
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