Division Problem: Finding Remainder When 73 Dancers Form 10 Equal Groups

To solve this problem, we'll proceed with the following steps:

• Step 1: Perform division to find how many groups of 10 dancers can be formed.
• Step 2: Calculate the remainder to find how many dancers are left ungrouped.

Let's go through the steps:

Step 1: Divide 73 (total dancers) by 10 (dancers per group). We calculate:

$73 \div 10 = 7 \text{ remainder } 3$

This division tells us that we can form 7 complete groups of 10 dancers each, with a remainder indicating the number of dancers left ungrouped.

Step 2: The remainder from the division is 3, indicating there are 3 dancers left without a group.

Therefore, the solution to the problem is $\mathbf{3}$ dancers remain without a group.