Question

Write the quotient in the blank space(With explanation)
$6547 \div 10$
$582.25 \div 10$
$345.67 \div 100$
$947.6 \div 100$
$142.321 \div 1000$
$5792 \div 1000$
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Answer 1

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Step-by-step explanation:

The quotient remainder theorem

When we want to prove some properties about modular arithmetic we often make use of the quotient remainder theorem.

It is a simple idea that comes directly from long division.

The quotient remainder theorem says:

Given any integer A, and a positive integer B, there exist unique integers Q and R such that

A= B * Q + R where 0 ≤ R < B

We can see that this comes directly from long division. When we divide A by B in long division, Q is the quotient and R is the remainder.

If we can write a number in this form then A mod B = R