What is 86 mod 5?

How to compute 86 mod 5?

The simplest approach is to use the "mod" operator (often denoted as "%" in many programming languages), but you could do it manually in the following way:

$\mathrm{Remainder}=N-(M\times \lfloor \frac{N}{M}\rfloor )$

(where N is the dividend, M is the divisor and $\lfloor \frac{N}{M}\rfloor$ represents the integer part of the quotient)

1. 86 / 5 = 17.2
2. ⌊17.2⌋ = 17 (We only keep the integer part)
3. 5 × 17 = 85
4. 86 - 85 = 1 (Subtracting gives us the remainder)

In short: 86 − (5 × ⌊86 / 5⌋) = 1

Is 86 divisible by 5?

A number is said to be divisible by another number, if the remainder of the division is zero.

Given that the result of 86 mod 5 is 1, this indicates that dividing 86 by 5 leaves a remainder of 1. Therefore, no, since the remainder isn't zero, 86 is not divisible by 5.