Complete the Blank: Ensure 52_ is Divisible by 10

To solve this problem, we'll follow these steps:

• Understand the requirement for divisibility by 10.
• Apply the divisibility rule.
• Verify against the given choices.

Now, let's work through each step:
Step 1: The problem asks to complete the number $52\text{ }_—$ so that it is divisible by 10 without a remainder. This means we need the last digit to be 0.
Step 2: According to the divisibility rule for 10, a number must end in 0 to be divisible by 10. Therefore, the last digit must be 0.
Step 3: Among the choices provided, only choice 1 ($0$) makes $520$ divisible by 10, as $520 \div 10 = 52$ with a remainder of 0.

Therefore, the correct digit that completes the number as divisible by 10 is 0.