BrainDen.com - Brain Teasers

## Question

Here are the placeholders for a long division, along with a single digit in the quotient.

Can you piece together the dividend?

x 7 x x x
----------------
x x x / x x x x x x x x
x x x x
-------
x x x
x x x
-----
x x x x
x x x
-----------
x x x x
x x x x
-------
- - - -
-------

Edited by bonanova
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• 0
7 minutes ago, aiemdao said:

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the dividend is 97089 ??

The 8-digit dividend is needed.
Your value for the quotient is very close. Check it, you may have transposed two digits.

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20 minutes ago, bonanova said:

=)) thanks

Dividend = abcdefgh

Divisor = Y

7Y have 3 digit

=> the first number of quotient must be 8 or 9. It's canot be 8 because:

Call Z= abcd - 8Y, Z have 2 digit

10Z +e -7Y = 3 digit

The third number of quitient( call it is n) x Y = 3 digit and the subtraction of nY get 2 digit ,ít impossible

So we got 97809.

We know 9Y >= 1000, 8Y<1000

So Y =[112-124]

I check and divinded is 12128316

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