Divide by Two-Digit Divisors and Check
Use the supplied divisor and dividend.
About 25 minutes, plus any extended practice
Supplied materials
- Paper and a pencil; drawing and spoken explanations are welcome. An adult may read directions and options aloud.
- Supplied worked-case record: To find 864÷24, thirty groups use 720 and six groups use 144.
- All quantities and shape descriptions are supplied in the worked example and questions; no purchase or personal information is needed.
Learn the idea
Two-digit division finds equal groups just as one-digit division does. Estimate a quotient digit, multiply the divisor by it, subtract, and continue with the remaining place. A multiplication check confirms the quotient. Quotient digits must keep their place values, including zeros where no full group fits.
Use the supplied divisor and dividend. Estimate groups, subtract their used amount, and combine the partial quotient counts. Multiply the final quotient by the divisor to check these exact-division examples.
Track each partial quotient with its full value. Check divisor times quotient rather than assuming a remainder-free layout is correct. Write each estimated group count and how much of the dividend it uses.
- Write each estimated group count and how much of the dividend it uses.
- Follow the worked example. Point to each number or shape feature and say what it tells you.
- Use the supplied divisor and dividend.
- Try the question and then the three practice questions. Check your answers and explain any change you make.
See the method in action
To find 864÷24, thirty groups use 720 and six groups use 144. All 864 are accounted for, so the quotient is 36. Check 24×36=864. The thirty-group part is thirty, not three, because it used hundreds of the supplied total. Track each partial quotient with its full value. Check divisor times quotient rather than assuming a remainder-free layout is correct. Write each estimated group count and how much of the dividend it uses.
Check your reasoning
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Helpful tips
- Track each partial quotient with its full value.
- Check divisor times quotient rather than assuming a remainder-free layout is correct.
See the answer and explanation
37
Use partial quotients or the standard algorithm and check by multiplication. The result is 37.
Take it further
Calculate 936÷26. Expected: 36; 26×36=936.
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More practice: try new cases
Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.
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Check the subject sources
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