How to solve 328479/327

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 328479/327 | Equatix

Question

$$328479\div327$$

Evaluate

$\frac{109493}{109}\approx 1004.52293578$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}\phantom{1}\\327\overline{)328479}\\\end{array}$$

Since $3$ is less than $327$, use the next digit $2$ from dividend $328479$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{327)}0\phantom{2}\\327\overline{)328479}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}0\phantom{3}\\327\overline{)328479}\\\end{array}$$

Since $32$ is less than $327$, use the next digit $8$ from dividend $328479$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{327)}00\phantom{4}\\327\overline{)328479}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}00\phantom{5}\\327\overline{)328479}\\\end{array}$$

Find closest multiple of $327$ to $328$. We see that $1 \times 327 = 327$ is the nearest. Now subtract $327$ from $328$ to get reminder $1$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{327)}001\phantom{6}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}1\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}001\phantom{7}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}14\\\end{array}$$

Since $14$ is less than $327$, use the next digit $7$ from dividend $328479$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{327)}0010\phantom{8}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}14\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}0010\phantom{9}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}147\\\end{array}$$

Since $147$ is less than $327$, use the next digit $9$ from dividend $328479$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{327)}00100\phantom{10}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}147\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $328479$

$$\begin{array}{l}\phantom{327)}00100\phantom{11}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}1479\\\end{array}$$

Find closest multiple of $327$ to $1479$. We see that $4 \times 327 = 1308$ is the nearest. Now subtract $1308$ from $1479$ to get reminder $171$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{327)}001004\phantom{12}\\327\overline{)328479}\\\phantom{327)}\underline{\phantom{}327\phantom{999}}\\\phantom{327)99}1479\\\phantom{327)}\underline{\phantom{99}1308\phantom{}}\\\phantom{327)999}171\\\end{array}$$

Since $171$ is less than $327$, stop the division. The reminder is $171$. The topmost line $001004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1004$.

$$\text{Quotient: }1004$$ $$\text{Reminder: }171$$

Show Solution

Factor

$\frac{223 \cdot 491}{109} = 1004\frac{57}{109} = 1004.5229357798165$

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Steps For Long Division Method

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