Question

the largest 3 digit number is divided by 3 the quotient​

Answer 1

Answer:

333##

Step-by-step explanation:

largest 3 digit no. = 999

divided by =999/3

=333###

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Answer 2

Did anyone mention the base used for the numerical representations?

Let’s do this in any integer base b≥2. b≥2.

The largest seven digit number is b7−1. b7−1.

The largest three digit number is b3−1. b3−1.

We can do the following algebra (this is polynomial division):

b7–1 = (b4)(b3−1)+b4−1b7–1 = (b4)(b3−1)+b4−1

= (b4)(b3−1)+b(b3−1)+b−1 = (b4)(b3−1)+b(b3−1)+b−1

= (b4+b)(b3−1)+b−1 = (b4+b)(b3−1)+b−1

So when b7−1 b7−1 is divided by b3−1 b3−1 the quotient is b4+b b4+b and the remainder is b−1. b−1.

I will leave it to you to calculate the quotient and remainder with b=10. b=10.

Incidentally, this means that the numerical representation of the quotient in any base will always be 10010 10010 and the remainder is always the single digit number b−1. b−1.