Long Division: 1000 ÷ 2.5

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 1000 by 2.5?

Answer: 1000 ÷ 2.5 = 400✓ exact division
1000 ÷ 2.5 = 400

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 10:

1000 × 10 = 10000(dividend)
2.5 × 10 = 25(divisor)

Now we can perform long division with these whole numbers:

Visual Long Division

 
 
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4
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5
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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 1000 ÷ 2.5 using long division method step by step:

Step 1:Take the number 100 and divide by 25. We get 4 (write it in the quotient). Multiply 4 × 25 = 100 (write it below the dividend). Subtract 100 - 100 = 0.
Step 2:Number 0 is less than divisor 25, so we write 0 in the quotient and move to the next digit.
Step 3:Number 0 is less than divisor 25, so we write 0 in the quotient and move to the next digit.
Final Step:The division is complete with no remainder. 1000 divides exactly by 2.5 to give 400.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
110044 × 25 = 100100 - 100 = 00
2000 × 25 = 00 - 0 = 00
3000 × 25 = 00 - 0 = 00

Perfect division: 1000 divides evenly by 2.5 with no remainder.

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 perform long division of 1000 by 2.5?

1000 ÷ 2.5 = 400 ✓ exact division

See Also