Answer:
[tex]Remainder = 3[/tex]
Step-by-step explanation:
Given
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
Required
Determine the remainder
Write down the first digit i.e. 1. So, we have:
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
--------------------------------
[tex]|\ 1[/tex]
Multiply that 1 by the divisor (1) i.e. [tex]1 * 1 = 1[/tex]
Write down the result under the next digit i.e. (under 2)
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
[tex]1[/tex]
--------------------------------
[tex]|\ 1[/tex]
Sum 2 and 1 i.e [tex]2 + 1 = 3[/tex]
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
[tex]1[/tex]
--------------------------------
[tex]|\ 1\ \ 3[/tex]
Multiply that 3 by the divisor (1) i.e. [tex]1 * 3 = 3[/tex]
Write down the result under the next digit i.e. (under -3)
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
[tex]1[/tex] [tex]3[/tex]
--------------------------------
[tex]|\ 1\ \ 3[/tex]
Sum -3 and 3 i.e [tex]-3 + 3 = 0[/tex]
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
[tex]1[/tex] [tex]3[/tex]
--------------------------------
[tex]|\ 1\ \ 3\ \ \ 0[/tex]
Multiply that 0 by the divisor (1) i.e. [tex]1 * 0 = 0[/tex]
Write down the result under the next digit i.e. (under 3)
[tex]1\ |\ 1\ \ 2\ \ -3\ \ 3[/tex]
[tex]1[/tex] [tex]3[/tex] [tex]0[/tex]
--------------------------------
[tex]|\ 1\ \ 3\ \ \ 0[/tex]
Sum 3 and 0 i.e [tex]3 + 0 = 3[/tex]
Since there is no other computation to do, the result of the last sum is the remainder.
So:
[tex]Remainder = 3[/tex]
