Math Snap

STEP 1

1. We are dividing a decimal number, $3.45$, by a whole number, $3$.
2. The division should result in an exact decimal value.

STEP 2

1. Set up the division problem.
2. Perform the division.
3. Verify the result.

STEP 3

Set up the division problem as a long division where $3.45$ is the dividend and $3$ is the divisor.

STEP 4

Perform the division by dividing $3.45$ by $3$.
- Divide the whole number part: $3 \div 3 = 1$.
- Subtract $3 \times 1 = 3$ from $3$, leaving $0$.
- Bring down the next digit, which is $4$, making it $4$.
- Divide $4 \div 3 = 1$.
- Subtract $3 \times 1 = 3$ from $4$, leaving $1$.
- Bring down the next digit, which is $5$, making it $15$.
- Divide $15 \div 3 = 5$.
- Subtract $3 \times 5 = 15$ from $15$, leaving $0$.

Verify the result by multiplying the quotient by the divisor to check if it equals the dividend.
- Multiply the quotient $1.15$ by the divisor $3$:
$$ 1.15 \times 3 = 3.45
\] Since the multiplication gives back the original dividend, the division is verified.
The exact result of the division is:
$$\boxed{1.15}$$