Grade: 4 Subject: Math Unit: Division Lesson: 5 of 6 SAT: Algebra ACT: Math

Common Mistakes

Learn

Even good math students make mistakes with division. Learning about common errors helps you avoid them!

Mistake 1: Forgetting to bring down digits

When doing long division, always remember to bring down the next digit after subtracting.

Mistake 2: Putting digits in the wrong place

Each digit in your answer must be directly above the digit you are working with in the dividend.

Mistake 3: Forgetting zeros in the quotient

If the divisor does not go into a number, you must write 0 in the quotient and bring down the next digit.

Mistake 4: Subtraction errors

Double-check your subtraction at each step. One small error can make your whole answer wrong.

Mistake 5: Not checking your answer

Always multiply your answer by the divisor to verify. Quotient x Divisor = Dividend (plus remainder, if any).

Examples

Can you spot what went wrong in these examples?

Example 1: Spot the error

Student work: 504 divided by 4 = 16

The mistake: The student forgot to write a 0 in the quotient. 4 goes into 5 once, with 1 left over. Bring down 0 to make 10. 4 goes into 10 twice. Bring down 4 to make 24. 4 goes into 24 six times.

Correct answer: 126

Example 2: Spot the error

Student work: 234 divided by 6 = 49

The mistake: Subtraction error. 6 goes into 23 three times (18). 23 - 18 = 5 (not 4). Bring down 4 to make 54. 6 goes into 54 nine times.

Correct answer: 39

Practice

For each question, find the correct answer and identify what mistake might have been made. Click to reveal the answer.

Question 1: What is 408 divided by 4? (A student got 12. What was the mistake?)

Answer: 102
The student forgot to include the 0 in the middle. 4 goes into 4 once, into 0 zero times, and into 8 twice. The answer is 102, not 12.

Question 2: What is 315 divided by 5?

Answer: 63
5 goes into 31 six times (30), subtract to get 1, bring down 5 to make 15. 5 goes into 15 three times.

Question 3: What is 720 divided by 8?

Answer: 90
8 goes into 72 nine times (72), subtract to get 0, bring down 0. 8 goes into 0 zero times. Answer: 90.

Question 4: What is 612 divided by 6? (A student got 12. What was the mistake?)

Answer: 102
The student skipped the 0. 6 goes into 6 once, into 1 zero times (write 0!), bring down 2 to make 12. 6 goes into 12 twice. Answer: 102.

Question 5: What is 549 divided by 9?

Answer: 61
9 goes into 54 six times (54), subtract to get 0, bring down 9. 9 goes into 9 once. Answer: 61.

Question 6: What is 805 divided by 5?

Answer: 161
5 goes into 8 once (5), subtract to get 3, bring down 0 to make 30. 5 goes into 30 six times. Bring down 5. 5 goes into 5 once. Answer: 161.

Question 7: Check this work: 392 divided by 7 = 56. Is it correct?

Answer: Yes, it is correct!
Check: 56 x 7 = 392. The answer is correct.

Question 8: Check this work: 456 divided by 8 = 67. Is it correct?

Answer: No, it is incorrect!
Check: 67 x 8 = 536, not 456. The correct answer is 57 (57 x 8 = 456).

Question 9: What is 903 divided by 3?

Answer: 301
3 goes into 9 three times, into 0 zero times (write 0!), into 3 once. Answer: 301.

Question 10: What is 4,824 divided by 8?

Answer: 603
8 goes into 48 six times (48), subtract to get 0, bring down 2. 8 goes into 2 zero times (write 0!), bring down 4 to make 24. 8 goes into 24 three times. Answer: 603.

Check Your Understanding

Remember these tips to avoid common mistakes:

  • Always write a 0 in the quotient when the divisor does not go into a number.
  • Double-check your subtraction at every step.
  • Verify your answer by multiplying: Quotient x Divisor should equal the Dividend.

Next Steps

  • Review any concepts that felt challenging
  • Move on to the next lesson when ready
  • Return to practice problems periodically for review