Calculate 3147 ÷ 12 using long division.
Understand the Problem
The question requires us to perform long division, dividing 3147 by 12. We need to find the quotient and any remainder.
Answer
$262 R 3$
Answer for screen readers
$3147 \div 12 = 262 R 3$
Steps to Solve
- Divide the first two digits
Divide 31 by 12. 12 goes into 31 two times (2 x 12 = 24). Write 2 above the 1 in 31.
- Subtract
Subtract 24 from 31, which gives 7.
$31 - 24 = 7$
- Bring down the next digit
Bring down the next digit, 4, to form 74.
- Divide again
Divide 74 by 12. 12 goes into 74 six times (6 x 12 = 72). Write 6 next to 2 on top.
- Subtract again
Subtract 72 from 74, which gives 2.
$74 - 72 = 2$
- Bring down the last digit
Bring down the last digit, 7, to form 27.
- Divide one last time
Divide 27 by 12. 12 goes into 27 two times (2 x 12 = 24). Write 2 next to 26 on top.
- Find the Remainder
Subtract 24 from 27, which gives 3. This is the remainder.
$27 - 24 = 3$
- Write out the final answer
The quotient is 262 and the remainder is 3.
$3147 \div 12 = 262 R 3$
More Information
The quotient represents how many whole times the divisor (12) goes into the dividend (3147), and the remainder is the amount left over that couldn't be evenly divided.
Tips
A common mistake is making errors in multiplication or subtraction during the long division process. Double-checking these calculations can prevent such errors.
Another common mistake is forgetting to bring down the next digit. Keeping the digits aligned can help avoid this.
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