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Question

Transform 400803 from the nonary to the quinary scale.

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Solution

400803 from the scale nine to decimal is 3×90+0×91+8×92+0×93+0×94+4×95=236847
When 236857 is divided by 5 quotient is 47369 and remainder is 2
When 47369 is divided by 5 quotient is 9493 and remainder is 4
When 9493 is divided by 5 quotient is 1894 and remainder is 3
When 1894 is divided by 5 quotient is 378 and remainder is 4
When 378 is divided by 5 quotient is 75 and remainder is 3
When 75 is divided by 5 quotient is 15 and remainder is 0
When 15 is divided by 5 quotient is 3 and remainder is 0
When 3 is divided by 5 quotient is 0 and remainder is 3
Hence, 400803 from scale nine to 30034342 in scale of five.

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