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Dividing the Unknown (Posted on 2004-05-20) Difficulty: 2 of 5
Consider the long division shown... (The digits in the blanks can be any digit and ? represents a number that can have any amount of digits.)

Although the number of digits in the divisor is not given, there is only 1 solution to this fairly easy division. Find the dividend, the divisor, and the quotient.

See The Solution Submitted by Victor Zapana    
Rating: 3.2500 (4 votes)
Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 1 of 2
According to the scheme, the quotient must be *0**080*. The divisor must be two digits long. 8 times the divisor is a two digits number. In some cases, x times the divisor produced a three digits number, so x=9 and the divisor must be 12.


The full division is then:
12
-----------------
1 0 9 1 8 8 9 7 0 8 | 9 0 9 9 0 8 0 9
1 0 8
1 1 8
1 0 8
1 0 8
1 0 8
0 9 7
9 6
1 0 8
1 0 8
0

No computers were used or harmed for the solution of this problem.
  Posted by Federico Kereki on 2004-05-20 12:28:00

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