**Replace _____with smallest digit to make the number divisible by 5:7164_____,32197_____**

To make a number divisible by 5, the last digit of the number must be either 0 or 5. In the given numbers, we need to find the smallest digit that can replace the blank to make the numbers divisible by 5.

**For the number 7164_____:**
To find the smallest digit that can replace the blank, we need to consider the divisibility rule for 5. According to the rule, a number is divisible by 5 if its last digit is either 0 or 5. In the given number, the last digit is a blank, so we need to find the smallest digit that satisfies the divisibility rule.

To determine the smallest digit, we can start by testing each digit from 0 to 9. We can plug in each digit into the blank and check if the resulting number is divisible by 5.

Starting with 0:
71640 is divisible by 5 because the last digit is 0.

Therefore, the smallest digit that can replace the blank in 7164_____ to make it divisible by 5 is 0.

**For the number 32197_____:**
Following the same process as above, we need to find the smallest digit that can replace the blank to make the number divisible by 5.

Starting with 0:
321970 is divisible by 5 because the last digit is 0.

Therefore, the smallest digit that can replace the blank in 32197_____ to make it divisible by 5 is 0.

In summary, the smallest digit that can be placed in the blank to make the numbers 7164_____ and 32197_____ divisible by 5 is 0.