Long Division: 5499 ÷ 500

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 5499 by 500 using long division and find the remainder?

Answer: 5499 ÷ 500 = 10 remainder 499
5499 ÷ 500 = 10 remainder 499

Visual Long Division

 
 
 
0
0
1
0
5
0
0
5
4
9
9
 
 
 
−
5
0
0
 
 
 
 
 
4
9
9
 
 
 
 
4
9
9

This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 5499 ÷ 500 using long division method step by step:

Step 1:Take the number 549 and divide by 500. We get 1 (write it in the quotient). Multiply 1 × 500 = 500 (write it below the dividend). Subtract 549 - 500 = 49. The remainder 49 is carried to the next step.
Step 2:Number 499 is less than divisor 500, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 499 is smaller than the divisor 500, so the division is complete. The final answer is 10 with remainder 499.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
154911 × 500 = 500549 - 500 = 4949
249900 × 500 = 0499 - 0 = 499499

Final remainder: 499

Since 499 is less than 500, we cannot divide further. The final answer is 10 with remainder 499.

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 5499 by 500 using long division and find the remainder?

5499 ÷ 500 = 10 remainder 499

See Also