Long Division: 12345 ÷ 7

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 12345 by 7 using long division and find the remainder?

Answer: 12345 ÷ 7 = 1763 remainder 4
12345 ÷ 7 = 1763 remainder 4

Visual Long Division

 
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7
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7
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5
 
 
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7
 
 
 
 
 
5
3
 
 
 
 
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4

This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 12345 ÷ 7 using long division method step by step:

Step 1:Take the number 12 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 12 - 7 = 5. The remainder 5 is carried to the next step.
Step 2:Take the number 53 and divide by 7. We get 7 (write it in the quotient). Multiply 7 × 7 = 49 (write it below the dividend). Subtract 53 - 49 = 4. The remainder 4 is carried to the next step.
Step 3:Take the number 44 and divide by 7. We get 6 (write it in the quotient). Multiply 6 × 7 = 42 (write it below the dividend). Subtract 44 - 42 = 2. The remainder 2 is carried to the next step.
Step 4:Take the number 25 and divide by 7. We get 3 (write it in the quotient). Multiply 3 × 7 = 21 (write it below the dividend). Subtract 25 - 21 = 4. The remainder 4 is carried to the next step.
Final Step:The remainder 4 is smaller than the divisor 7, so the division is complete. The final answer is 1763 with remainder 4.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
11211 × 7 = 712 - 7 = 55
25377 × 7 = 4953 - 49 = 44
34466 × 7 = 4244 - 42 = 22
42533 × 7 = 2125 - 21 = 44

Final remainder: 4

Since 4 is less than 7, we cannot divide further. The final answer is 1763 with remainder 4.

About Long Division

Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.

The process involves:

  • Dividing the leftmost digits of the dividend by the divisor
  • Writing the quotient digit above the dividend
  • Multiplying the quotient digit by the divisor
  • Subtracting this product from the current dividend portion
  • Bringing down the next digit and repeating the process

This method ensures accuracy and helps students understand the relationship between multiplication and division.

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

FAQ

How to divide 12345 by 7 using long division and find the remainder?

12345 ÷ 7 = 1763 remainder 4

See Also