Long Division: 500.001 ÷ 10

How to divide 500.001 by 10 using long division and find the remainder?

Answer: 500.001 ÷ 10 = 50 remainder 1
500.001 ÷ 10 = 50 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)
10 × 1000 = 10000(divisor)

Now we can perform long division with these whole numbers:

Visual Long Division

 
 
 
 
 
0
0
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5
0
1
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0
0
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5
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1
 
 
 
 
 
5
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1

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 ÷ 10 using long division method step by step:

Step 1:Take the number 50000 and divide by 10000. We get 5 (write it in the quotient). Multiply 5 × 10000 = 50000 (write it below the dividend). Subtract 50000 - 50000 = 0.
Step 2:Number 1 is less than divisor 10000, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 1 is smaller than the divisor 10000, so the division is complete. The final answer is 50 with remainder 1.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
15000055 × 10000 = 5000050000 - 50000 = 00
2100 × 10000 = 01 - 0 = 11

Final remainder: 1

Since 1 is less than 10000, we cannot divide further. The final answer is 50 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

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.

FAQ

How to divide 500.001 by 10 using long division and find the remainder?

500.001 ÷ 10 = 50 remainder 1