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Quotient-Remainder Theorem Calculator

Enter n and d

<-- Enter n
<-- Enter d
  

How does the Quotient-Remainder Theorem Calculator work?

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?

  1. q = n div d
  2. r = n mod d
  3. n = dq + r

For more math formulas, check out our Formula Dossier

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

integer
a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...
modulus
the remainder of a division, after one number is divided by another.
a mod b
quotient
The result of dividing two expressions.
quotient-remainder theorem
When we divide A by B, Q is the quotient, R is the remainder
remainder
The portion of a division operation leftover after dividing two integers
theorem
A statement provable using logic

Example calculations for the Quotient-Remainder Theorem Calculator

  1. 50 div 3