use the four digits 3 4 5 6 exactly once each to form a division problem which has a quotient of 0.08 write the appropriate division problem

To form a division problem using the digits 3, 4, 5, and 6 exactly once each, with a quotient of 0.08, we need to arrange the digits in a specific order.

Since the quotient is less than 1, we need to divide a number smaller than the dividend. In this case, we can use either 3 or 4 as the divisor. Let's choose 4 as the divisor.

To create the smallest quotient of 0.08, we need to have the number being divided as large as possible. Therefore, we put the thousandth place value, which is the largest digit among the choices, into the dividend. In this case, it will be 6.

Now, let's arrange the other three digits in a way that produces the smallest quotient. We put 5 in the hundredth place value, 4 in the tenth place value, and 3 in the ones place value.

Therefore, the appropriate division problem would be:

640 รท 4 = 160

The quotient of this division problem is indeed 0.08.