Long Division: 1000005 ÷ 35

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 1000005 by 35 using long division and find the remainder?

Answer: 1000005 ÷ 35 = 28571 remainder 20
1000005 ÷ 35 = 28571 remainder 20

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 ÷ 35 using long division method step by step:

Step 1:Take the number 100 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 100 - 70 = 30. The remainder 30 is carried to the next step.
Step 2:Take the number 300 and divide by 35. We get 8 (write it in the quotient). Multiply 8 × 35 = 280 (write it below the dividend). Subtract 300 - 280 = 20. The remainder 20 is carried to the next step.
Step 3:Take the number 200 and divide by 35. We get 5 (write it in the quotient). Multiply 5 × 35 = 175 (write it below the dividend). Subtract 200 - 175 = 25. The remainder 25 is carried to the next step.
Step 4:Take the number 250 and divide by 35. We get 7 (write it in the quotient). Multiply 7 × 35 = 245 (write it below the dividend). Subtract 250 - 245 = 5. The remainder 5 is carried to the next step.
Step 5:Take the number 55 and divide by 35. We get 1 (write it in the quotient). Multiply 1 × 35 = 35 (write it below the dividend). Subtract 55 - 35 = 20. The remainder 20 is carried to the next step.
Final Step:The remainder 20 is smaller than the divisor 35, so the division is complete. The final answer is 28571 with remainder 20.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110022 × 35 = 70100 - 70 = 3030
230088 × 35 = 280300 - 280 = 2020
320055 × 35 = 175200 - 175 = 2525
425077 × 35 = 245250 - 245 = 55
55511 × 35 = 3555 - 35 = 2020

Final remainder: 20

Since 20 is less than 35, we cannot divide further. The final answer is 28571 with remainder 20.

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 1000005 by 35 using long division and find the remainder?

1000005 ÷ 35 = 28571 remainder 20

See Also