Long Division: 1000005 ÷ 700

How to divide 1000005 by 700 using long division and find the remainder?

Answer: 1000005 ÷ 700 = 1428 remainder 405
1000005 ÷ 700 = 1428 remainder 405

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 1000005 ÷ 700 using long division method step by step:

Step 1:Take the number 1000 and divide by 700. We get 1 (write it in the quotient). Multiply 1 × 700 = 700 (write it below the dividend). Subtract 1000 - 700 = 300. The remainder 300 is carried to the next step.
Step 2:Take the number 3000 and divide by 700. We get 4 (write it in the quotient). Multiply 4 × 700 = 2800 (write it below the dividend). Subtract 3000 - 2800 = 200. The remainder 200 is carried to the next step.
Step 3:Take the number 2000 and divide by 700. We get 2 (write it in the quotient). Multiply 2 × 700 = 1400 (write it below the dividend). Subtract 2000 - 1400 = 600. The remainder 600 is carried to the next step.
Step 4:Take the number 6005 and divide by 700. We get 8 (write it in the quotient). Multiply 8 × 700 = 5600 (write it below the dividend). Subtract 6005 - 5600 = 405. The remainder 405 is carried to the next step.
Final Step:The remainder 405 is smaller than the divisor 700, so the division is complete. The final answer is 1428 with remainder 405.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1100011 × 700 = 7001000 - 700 = 300300
2300044 × 700 = 28003000 - 2800 = 200200
3200022 × 700 = 14002000 - 1400 = 600600
4600588 × 700 = 56006005 - 5600 = 405405

Final remainder: 405

Since 405 is less than 700, we cannot divide further. The final answer is 1428 with remainder 405.

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.

FAQ

How to divide 1000005 by 700 using long division and find the remainder?

1000005 ÷ 700 = 1428 remainder 405