Long Division: 500.001 ÷ 4

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 500.001 by 4 using long division and find the remainder?

Answer: 500.001 ÷ 4 = 125 remainder 1
500.001 ÷ 4 = 125 remainder 1

Converting Decimals to Integers

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

500.001 × 1000 = 500001(dividend)
4 × 1000 = 4000(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 500.001 ÷ 4 using long division method step by step:

Step 1:Take the number 5000 and divide by 4000. We get 1 (write it in the quotient). Multiply 1 × 4000 = 4000 (write it below the dividend). Subtract 5000 - 4000 = 1000. The remainder 1000 is carried to the next step.
Step 2:Take the number 10000 and divide by 4000. We get 2 (write it in the quotient). Multiply 2 × 4000 = 8000 (write it below the dividend). Subtract 10000 - 8000 = 2000. The remainder 2000 is carried to the next step.
Step 3:Take the number 20001 and divide by 4000. We get 5 (write it in the quotient). Multiply 5 × 4000 = 20000 (write it below the dividend). Subtract 20001 - 20000 = 1. The remainder 1 is carried to the next step.
Final Step:The remainder 1 is smaller than the divisor 4000, so the division is complete. The final answer is 125 with remainder 1.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1500011 × 4000 = 40005000 - 4000 = 10001000
21000022 × 4000 = 800010000 - 8000 = 20002000
32000155 × 4000 = 2000020001 - 20000 = 11

Final remainder: 1

Since 1 is less than 4000, we cannot divide further. The final answer is 125 with remainder 1.

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 500.001 by 4 using long division and find the remainder?

500.001 ÷ 4 = 125 remainder 1

See Also