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# remainder 43, quotient 344, dividend 43 043

### 3 Answers by Expert Tutors

Roman C. | Masters of Education Graduate with Mathematics ExpertiseMasters of Education Graduate with Mathe...
4.9 4.9 (332 lesson ratings) (332)
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

Mike C. | Enthusiastic Tutor for Middle and High School StudentsEnthusiastic Tutor for Middle and High S...
4.8 4.8 (82 lesson ratings) (82)
0

43043 = 344x + 43;

344x = 43000;

x = 43000/344 = 125.

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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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