How it works
Calculate quotient and remainder for division problems.
Input query strings and outputs
Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.
Input query strings
2-
?dividend=DividendNumber · Optional · Default: 100
-
?divisor=DivisorNumber · Optional · Default: 7
Outputs
1-
resultResultText · Primary output
result contains the calculator’s complete rendered result area, including its visible result cards, tables, charts, and messages.
Solve division problems with quotients and remainders
Description
The Long Division Calculator is a classic math tool that solves division problems by breaking them down into their component parts. Instead of just giving a decimal result, this tool provides the Quotient (the whole number of times it fits) and the Remainder (what is left over). This is the standard way division is taught in primary education and is vital for understanding number theory.
Inputs
- Dividend: The total quantity being divided (the number “inside” the bracket).
- Divisor: The number you are dividing by.
Outputs
- Result with Remainder: The traditional “Quotient R Remainder” format (e.g.,
14 R 2). - Decimal Result: The high-precision decimal equivalent.
- Verification Equation: Shows the relationship: $Dividend = (Divisor \times Quotient) + Remainder$.
Chart
- N/A: This tool provides breakdown numeric results.
“Good to Know”
- Remainder vs. Decimal: A remainder of 1 when dividing by 4 is the same as
.25in decimal form ($1/4$). - Divisibility: If the remainder is 0, then the dividend is “perfectly divisible” by the divisor.
- Modulo: In programming, the “modulo” operator (%) is used to find only the remainder part of a long division problem.
Examples
Example 1: Basic Division
- Input: Dividend: 10, Divisor: 3
- Output: 3 R 1 (Decimal: 3.333…)
Example 2: Large Division
- Input: Dividend: 100, Divisor: 7
- Output: 14 R 2 (Decimal: 14.2857…)
Example 3: Perfect Divisibility
- Input: Dividend: 144, Divisor: 12
- Output: 12 R 0