Solve the Division Equation: 15.6 ÷ ? = 1.56

To solve this problem, we need to determine the value that, when multiplied with 1.56, results in 15.6. Let's proceed with a step-by-step approach:

• Step 1: Identify the task. We have the division relationship $15.6 : x = 1.56$, where $x$ is the missing number we want to find.
• Step 2: Set up an equation based on this relationship: $x = \frac{15.6}{1.56}$.
• Step 3: Perform the division. Convert 15.6 and 1.56 to eliminate decimals, facilitating easier division: - Multiply both numerator and denominator by 100 to make it an integer division: $\frac{15.6 \times 100}{1.56 \times 100} = \frac{1560}{156}$.
• Step 4: Simplify the fraction $\frac{1560}{156}$: - Divide both numbers by the greatest common divisor, which is 156: $\frac{1560 \div 156}{156 \div 156} = \frac{10}{1} = 10$.
• Step 5: Verify. Multiply 1.56 by 10 to check: $1.56 \times 10 = 15.6$, confirming our calculation.

Therefore, the solution to the problem is that the missing number is $10$.