Final answer:
The quotient of 420 divided by 357000 is 1/850, which is confirmed through multiplication by multiplying 1/850 by 357000 to get 420.
Step-by-step explanation:
The question involves division and checking the answer using multiplication. To find the quotient of 420 divided by 357000 using long division, we see that 420 goes into 357000 zero times. So, we write the division as a fraction, which simplifies to 1/850 because 420/357000 simplifies to 1/850 when both numerator and denominator are divided by 420. To check using multiplication, we multiply 1/850 by 357000, which should give us 420. Indeed, (1/850) * 357000 = 420, confirming our division is correct. Therefore, the correct choice is (a) The quotient is 1/850.