To create two different division problems using the digits 5, 8, and 9, while ensuring that both problems have the same remainder and each digit is used only once, we can proceed as follows:
Let's use the numbers 5, 8, and 9 to create the dividend and divisor for each division problem:
Division Problem 1:
Dividend: 958
Divisor: 9
Remainder: 5
Division Problem 2:
Dividend: 895
Divisor: 8
Remainder: 5
In both division problems, we are using the digits 5, 8, and 9 to form the dividend, with each digit used only once. By setting up the division problems in this way, we can ensure that both problems have the same remainder (5) while fulfilling the requirements given.