Quotient-Remainder Theorem Calculator

Enter n and d

<-- Enter n
<-- Enter d

Given n = 15 and d = 20:
Show the quotient remainder theorem

Quotient Remainder Definition

For positive integers n and d
n div d = q
n mod d = r <--> n = dq + r
and 0 ≤ r < d

Determine n div d:

This is the integer quotient when n ÷ d
15 ÷ 20 = Floor(0.75) = 0

Determine n mod d (remainder)

15 mod 20 = 15

Quotient-Remainder Theorem:

n = dq + r
15 = (20)(0) + 15
15 = 0 + 15

What is the Answer?

15 = 15

How does the Quotient-Remainder Theorem Calculator work?

Free Quotient-Remainder Theorem Calculator - Given 2 positive integers n and d, this displays the quotient remainder theorem.
This calculator has 2 inputs.

What 3 formulas are used for the Quotient-Remainder Theorem Calculator?

q = n div d
r = n mod d
n = dq + r

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Quotient-Remainder Theorem Calculator?

a whole number; a number that is not a fraction
the remainder of a division, after one number is divided by another.
a mod b
The result of dividing two expressions.
quotient-remainder theorem
When we divide A by B, Q is the quotient, R is the remainder
The portion of a division operation leftover after dividing two integers
A statement provable using logic

Example calculations for the Quotient-Remainder Theorem Calculator

  1. 50 div 3


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