remainder 43, quotient 344, dividend 43 043

Question

The question is:

The remainder is 43.

The quotient is 344.

The dividend is 43 043.

What is the divisor?

Answer 1

The division algorithm is a theorem that says that given a dividend a and a divisor b there is a unique quotient q and remainder r satisfying a = qb + r and 0 ≤ r < b.

In your problem you have r = 43, q = 344, a = 43043 so

a = qb + r

43043 = 344b + 43

b = (43043 - 43)/344 = 125 ← Answer

 

Answer 2

43043 = 344x + 43;

344x = 43000;

x = 43000/344 = 125.

Answer 3

43 043/x = 344 + 43/x, where x is the divisor.

Solve for x,

x = (43043-43)/344 = 125 <==Answer

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Attn: dividend/divisor = quotient + remainder/divisor