Subjects arithmetic

4 Digit Division

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4 Digit Division


1. Stating the problem: Divide a 4-digit number by a 1-digit number and find the quotient. 2. Let's represent the 4-digit number as $N$ and the 1-digit divisor as $d$ where $1 \leq d \leq 9$. 3. The division operation is $\frac{N}{d}$. 4. To solve, perform integer division or long division depending on the specific numbers. 5. For example, if $N=4321$ and $d=3$, divide 4321 by 3: - $3 \times 1440 = 4320$, remainder 1 - Quotient is $1440$, remainder is $1$. 6. So, $\frac{4321}{3} = 1440$ remainder $1$ or approximately $1440.333$. 7. The full quotient can be expressed as $\text{quotient} = \lfloor \frac{N}{d} \rfloor$ and remainder $r = N - d \times \text{quotient}$.