To solve the division problem [tex]\( 15 \div ? \)[/tex], let's find both the quotient and the remainder step by step.
Step 1: Identify the dividend and the divisor.
- The dividend is [tex]\( 15 \)[/tex].
- The divisor is the unknown we want to solve for.
Step 2: Using the given results, we know:
- The quotient is [tex]\( 5 \)[/tex].
- The remainder is [tex]\( 0 \)[/tex].
Step 3: Set up the division equation based on the relationship between the dividend, divisor, quotient, and remainder:
[tex]\[ \text{dividend} = (\text{divisor} \times \text{quotient}) + \text{remainder} \][/tex]
Step 4: Substitute the given values into the equation:
[tex]\[ 15 = (\text{divisor} \times 5) + 0 \][/tex]
Step 5: Simplify the equation:
[tex]\[ 15 = \text{divisor} \times 5 \][/tex]
Step 6: Solve for the divisor by dividing both sides of the equation by [tex]\( 5 \)[/tex]:
[tex]\[ \text{divisor} = \frac{15}{5} \][/tex]
[tex]\[ \text{divisor} = 3 \][/tex]
Step 7: Verify the result by substituting back into the original division equation:
[tex]\[ 15 = (3 \times 5) + 0 \][/tex]
[tex]\[ 15 = 15 \][/tex]
This confirms the divisor is [tex]\( 3 \)[/tex]. Thus, the complete problem is:
[tex]\[ 15 \div 3 = 5 \][/tex]
There is no remainder since [tex]\( 15 \div 3 \)[/tex] divides evenly.
