Long Division: 500.25 ÷ 4

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 500.25 by 4 using long division and find the remainder?

Answer: 500.25 ÷ 4 = 125 remainder 25
500.25 ÷ 4 = 125 remainder 25

Converting Decimals to Integers

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

500.25 × 100 = 50025(dividend)
4 × 100 = 400(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 500.25 ÷ 4 using long division method step by step:

Step 1:Take the number 500 and divide by 400. We get 1 (write it in the quotient). Multiply 1 × 400 = 400 (write it below the dividend). Subtract 500 - 400 = 100. The remainder 100 is carried to the next step.
Step 2:Take the number 1002 and divide by 400. We get 2 (write it in the quotient). Multiply 2 × 400 = 800 (write it below the dividend). Subtract 1002 - 800 = 202. The remainder 202 is carried to the next step.
Step 3:Take the number 2025 and divide by 400. We get 5 (write it in the quotient). Multiply 5 × 400 = 2000 (write it below the dividend). Subtract 2025 - 2000 = 25. The remainder 25 is carried to the next step.
Final Step:The remainder 25 is smaller than the divisor 400, so the division is complete. The final answer is 125 with remainder 25.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
150011 × 400 = 400500 - 400 = 100100
2100222 × 400 = 8001002 - 800 = 202202
3202555 × 400 = 20002025 - 2000 = 2525

Final remainder: 25

Since 25 is less than 400, we cannot divide further. The final answer is 125 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

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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 500.25 by 4 using long division and find the remainder?

500.25 ÷ 4 = 125 remainder 25

See Also