Long Division: 1005 ÷ 70

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 1005 by 70 using long division and find the remainder?

Answer: 1005 ÷ 70 = 14 remainder 25
1005 ÷ 70 = 14 remainder 25

Visual Long Division

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

Step-by-Step Explanation

Here's how to solve 1005 ÷ 70 using long division method step by step:

Step 1:Take the number 100 and divide by 70. We get 1 (write it in the quotient). Multiply 1 × 70 = 70 (write it below the dividend). Subtract 100 - 70 = 30. The remainder 30 is carried to the next step.
Step 2:Take the number 305 and divide by 70. We get 4 (write it in the quotient). Multiply 4 × 70 = 280 (write it below the dividend). Subtract 305 - 280 = 25. The remainder 25 is carried to the next step.
Final Step:The remainder 25 is smaller than the divisor 70, so the division is complete. The final answer is 14 with remainder 25.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110011 × 70 = 70100 - 70 = 3030
230544 × 70 = 280305 - 280 = 2525

Final remainder: 25

Since 25 is less than 70, we cannot divide further. The final answer is 14 with remainder 25.

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 1005 by 70 using long division and find the remainder?

1005 ÷ 70 = 14 remainder 25

See Also