Long Division: 5.241 ÷ 3

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 5.241 by 3 using long division and find the remainder?

Answer: 5.241 ÷ 3 = 1 remainder 2241
5.241 ÷ 3 = 1 remainder 2241

Converting Decimals to Integers

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

5.241 × 1000 = 5241(dividend)
3 × 1000 = 3000(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 5.241 ÷ 3 using long division method step by step:

Step 1:Take the number 5241 and divide by 3000. We get 1 (write it in the quotient). Multiply 1 × 3000 = 3000 (write it below the dividend). Subtract 5241 - 3000 = 2241. The remainder 2241 is carried to the next step.
Final Step:The remainder 2241 is smaller than the divisor 3000, so the division is complete. The final answer is 1 with remainder 2241.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1524111 × 3000 = 30005241 - 3000 = 22412241

Final remainder: 2241

Since 2241 is less than 3000, we cannot divide further. The final answer is 1 with remainder 2241.

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 divide 5.241 by 3 using long division and find the remainder?

5.241 ÷ 3 = 1 remainder 2241

See Also