Long Division: 500.005 ÷ 3

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 500.005 by 3 using long division and find the remainder?

Answer: 500.005 ÷ 3 = 166 remainder 2005
500.005 ÷ 3 = 166 remainder 2005

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 1000:

500.005 × 1000 = 500005(dividend)
3 × 1000 = 3000(divisor)

Now we can perform long division with these whole numbers:

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 500.005 ÷ 3 using long division method step by step:

Step 1:Take the number 5000 and divide by 3000. We get 1 (write it in the quotient). Multiply 1 × 3000 = 3000 (write it below the dividend). Subtract 5000 - 3000 = 2000. The remainder 2000 is carried to the next step.
Step 2:Take the number 20000 and divide by 3000. We get 6 (write it in the quotient). Multiply 6 × 3000 = 18000 (write it below the dividend). Subtract 20000 - 18000 = 2000. The remainder 2000 is carried to the next step.
Step 3:Take the number 20005 and divide by 3000. We get 6 (write it in the quotient). Multiply 6 × 3000 = 18000 (write it below the dividend). Subtract 20005 - 18000 = 2005. The remainder 2005 is carried to the next step.
Final Step:The remainder 2005 is smaller than the divisor 3000, so the division is complete. The final answer is 166 with remainder 2005.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1500011 × 3000 = 30005000 - 3000 = 20002000
22000066 × 3000 = 1800020000 - 18000 = 20002000
32000566 × 3000 = 1800020005 - 18000 = 20052005

Final remainder: 2005

Since 2005 is less than 3000, we cannot divide further. The final answer is 166 with remainder 2005.

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 500.005 by 3 using long division and find the remainder?

500.005 ÷ 3 = 166 remainder 2005

See Also