Long Division: 500.05 ÷ 3

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 500.05 by 3 using long division and find the remainder?

Answer: 500.05 ÷ 3 = 166 remainder 205
500.05 ÷ 3 = 166 remainder 205

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 100:

500.05 × 100 = 50005(dividend)
3 × 100 = 300(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 500.05 ÷ 3 using long division method step by step:

Step 1:Take the number 500 and divide by 300. We get 1 (write it in the quotient). Multiply 1 × 300 = 300 (write it below the dividend). Subtract 500 - 300 = 200. The remainder 200 is carried to the next step.
Step 2:Take the number 2000 and divide by 300. We get 6 (write it in the quotient). Multiply 6 × 300 = 1800 (write it below the dividend). Subtract 2000 - 1800 = 200. The remainder 200 is carried to the next step.
Step 3:Take the number 2005 and divide by 300. We get 6 (write it in the quotient). Multiply 6 × 300 = 1800 (write it below the dividend). Subtract 2005 - 1800 = 205. The remainder 205 is carried to the next step.
Final Step:The remainder 205 is smaller than the divisor 300, so the division is complete. The final answer is 166 with remainder 205.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
150011 × 300 = 300500 - 300 = 200200
2200066 × 300 = 18002000 - 1800 = 200200
3200566 × 300 = 18002005 - 1800 = 205205

Final remainder: 205

Since 205 is less than 300, we cannot divide further. The final answer is 166 with remainder 205.

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

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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 500.05 by 3 using long division and find the remainder?

500.05 ÷ 3 = 166 remainder 205

See Also