Question

2

Answer 1

Answer:

$Remainder = 3$

Step-by-step explanation:

Given

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

Required

Determine the remainder

Write down the first digit i.e. 1. So, we have:

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

--------------------------------

  $|\ 1$

Multiply that 1 by the divisor (1) i.e. $1 * 1 = 1$

Write down the result under the next digit i.e. (under 2)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

        $1$

--------------------------------

  $|\ 1$

Sum 2 and 1 i.e $2 + 1 = 3$

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

        $1$

--------------------------------

  $|\ 1\ \ 3$  

Multiply that 3 by the divisor (1) i.e. $1 * 3 = 3$

Write down the result under the next digit i.e. (under -3)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

        $1$       $3$

--------------------------------

  $|\ 1\ \ 3$  

Sum -3 and 3 i.e $-3 + 3 = 0$

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

        $1$       $3$

--------------------------------

  $|\ 1\ \ 3\ \ \ 0$

 

Multiply that 0 by the divisor (1) i.e. $1 * 0 = 0$

Write down the result under the next digit i.e. (under 3)

$1\ |\ 1\ \ 2\ \ -3\ \ 3$

        $1$       $3$   $0$

--------------------------------

  $|\ 1\ \ 3\ \ \ 0$

Sum 3 and 0 i.e $3 + 0 = 3$

Since there is no other computation to do, the result of the last sum is the remainder.

So:

$Remainder = 3$