No digit with the format 90x0y07 is divisible by 2017
The given parameters are:
Dividend = 90x0y07
Divisor = 2017
The dividend is a 7-digit number, and the divisor is a 4-digit number
So, the quotient must be 3 to 4 digits.
Comparing the first and last digits of 90x0y07 and 2017;
The first and last digits of the quotient must be 4 and 1, respectively
So, we have:
90x0y07 = 2017 * 4a1
Assume a = 9.
So, we have:
90x0y07 = 2017 * 491
90x0y07 = 990347
The above is 6-digit.
So, we make use of a 4-digit quotient
This gives
90x0y07 = 2017 * 4ab1
Next, we make use of trial by error.
After several attempts, we conclude that no digit with the format 90x0y07 is divisible by 2017
The closest attempt is
90x0y07 = 2017 * 4471
90x0y07 = 9018007
Where:
x = 1, y = 0 and the digit between x and y is 8, not 0
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