.long-division-calculator-container {
font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif;
max-width: 700px;
margin: 20px auto;
padding: 25px;
border: 1px solid #e0e0e0;
border-radius: 10px;
background-color: #fdfdfd;
box-shadow: 0 4px 12px rgba(0, 0, 0, 0.06);
}
.long-division-calculator-container h2 {
color: #333;
text-align: center;
margin-bottom: 25px;
font-size: 28px;
font-weight: 600;
}
.long-division-calculator-container .input-group {
margin-bottom: 18px;
display: flex;
flex-direction: column;
}
.long-division-calculator-container label {
display: block;
margin-bottom: 8px;
color: #555;
font-size: 16px;
font-weight: 500;
}
.long-division-calculator-container input[type="number"] {
width: calc(100% – 20px);
padding: 12px;
border: 1px solid #ccc;
border-radius: 6px;
font-size: 16px;
color: #333;
transition: border-color 0.3s ease;
}
.long-division-calculator-container input[type="number"]:focus {
border-color: #007bff;
outline: none;
box-shadow: 0 0 0 3px rgba(0, 123, 255, 0.25);
}
.long-division-calculator-container button {
display: block;
width: 100%;
padding: 14px 20px;
background-color: #007bff;
color: white;
border: none;
border-radius: 6px;
font-size: 18px;
font-weight: 600;
cursor: pointer;
transition: background-color 0.3s ease, transform 0.2s ease;
margin-top: 25px;
}
.long-division-calculator-container button:hover {
background-color: #0056b3;
transform: translateY(-1px);
}
.long-division-calculator-container .result-section {
margin-top: 30px;
padding: 20px;
background-color: #e9f7ff;
border: 1px solid #cce5ff;
border-radius: 8px;
display: none; /* Hidden by default */
}
.long-division-calculator-container .result-section p {
margin-bottom: 10px;
font-size: 17px;
color: #333;
line-height: 1.6;
}
.long-division-calculator-container .result-section p strong {
color: #0056b3;
font-weight: 600;
}
.long-division-calculator-container .error-message {
color: #dc3545;
margin-top: 15px;
font-size: 15px;
text-align: center;
font-weight: 500;
}
.long-division-calculator-container .calculator-article {
margin-top: 40px;
padding-top: 30px;
border-top: 1px solid #eee;
color: #444;
line-height: 1.7;
}
.long-division-calculator-container .calculator-article h3 {
color: #333;
font-size: 24px;
margin-bottom: 15px;
font-weight: 600;
}
.long-division-calculator-container .calculator-article p {
margin-bottom: 15px;
font-size: 16px;
}
.long-division-calculator-container .calculator-article ul {
list-style-type: disc;
margin-left: 20px;
margin-bottom: 15px;
}
.long-division-calculator-container .calculator-article ul li {
margin-bottom: 8px;
font-size: 16px;
}
function calculateLongDivision() {
var dividendInput = document.getElementById("dividendInput").value;
var divisorInput = document.getElementById("divisorInput").value;
var errorMessage = document.getElementById("errorMessage");
var resultSection = document.getElementById("resultSection");
errorMessage.textContent = ""; // Clear previous errors
resultSection.style.display = "none"; // Hide results until valid calculation
var dividend = parseFloat(dividendInput);
var divisor = parseFloat(divisorInput);
if (isNaN(dividend) || isNaN(divisor)) {
errorMessage.textContent = "Please enter valid numbers for both Dividend and Divisor.";
return;
}
if (divisor === 0) {
errorMessage.textContent = "Error: Divisor cannot be zero.";
return;
}
// For long division, we typically deal with integer quotients and remainders
// even if inputs are decimals, the remainder concept is based on integer division.
// We'll provide both integer-based quotient/remainder and a full decimal result.
var integerDividend = Math.floor(dividend);
var integerDivisor = Math.floor(divisor);
var quotient = Math.floor(integerDividend / integerDivisor);
var remainder = integerDividend % integerDivisor;
var decimalResult = dividend / divisor;
document.getElementById("quotientResult").textContent = quotient;
document.getElementById("remainderResult").textContent = remainder;
document.getElementById("decimalResult").textContent = decimalResult.toFixed(5); // Display with 5 decimal places
resultSection.style.display = "block"; // Show the results
}
Long Division Calculator
Quotient:
Remainder:
Full Decimal Result:
Understanding Long Division
Long division is a fundamental arithmetic method for dividing large numbers into smaller groups or parts. It's a systematic way to break down a division problem into a series of easier steps, especially when the dividend is a large number and the divisor is a smaller one. This calculator helps you quickly find the quotient, remainder, and the full decimal result of any division problem.
Key Components of Division
- Dividend: This is the number that is being divided. It's the total amount you start with.
- Divisor: This is the number by which the dividend is divided. It represents the number of equal groups you want to create or the size of each group.
- Quotient: This is the whole number result of the division. It tells you how many times the divisor fits completely into the dividend.
- Remainder: This is the amount left over after the division, when the dividend cannot be perfectly divided by the divisor. The remainder is always less than the divisor.
- Full Decimal Result: This is the precise result of the division, including any fractional part, expressed as a decimal number.
How Long Division Works (Conceptually)
Imagine you have 1234 candies (dividend) and you want to share them equally among 5 friends (divisor). Long division helps you figure out how many candies each friend gets (quotient) and if any candies are left over (remainder).
The process involves repeatedly subtracting the divisor from parts of the dividend, moving from left to right. For example, with 1234 divided by 5:
- How many times does 5 go into 12? Two times (2 * 5 = 10). Subtract 10 from 12, leaving 2.
- Bring down the next digit (3), making it 23. How many times does 5 go into 23? Four times (4 * 5 = 20). Subtract 20 from 23, leaving 3.
- Bring down the next digit (4), making it 34. How many times does 5 go into 34? Six times (6 * 5 = 30). Subtract 30 from 34, leaving 4.
So, the quotient is 246, and the remainder is 4. This means each friend gets 246 candies, and 4 candies are left over. The full decimal result would be 246.8.
Using the Calculator
Simply enter your Dividend and Divisor into the respective fields and click "Calculate Long Division". The calculator will instantly provide you with the Quotient, Remainder, and the Full Decimal Result, making complex division problems easy to solve.