How to solve (2979)/(343)

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 (2979)/(343) | Equatix

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Question

$$\frac{ 2979 }{ 343 }$$

Evaluate

$\frac{2979}{343}\approx 8.685131195$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2979$

$$\begin{array}{l}\phantom{343)}\phantom{1}\\343\overline{)2979}\\\end{array}$$

Since $2$ is less than $343$, use the next digit $9$ from dividend $2979$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{343)}0\phantom{2}\\343\overline{)2979}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $2979$

$$\begin{array}{l}\phantom{343)}0\phantom{3}\\343\overline{)2979}\\\end{array}$$

Since $29$ is less than $343$, use the next digit $7$ from dividend $2979$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{343)}00\phantom{4}\\343\overline{)2979}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $2979$

$$\begin{array}{l}\phantom{343)}00\phantom{5}\\343\overline{)2979}\\\end{array}$$

Since $297$ is less than $343$, use the next digit $9$ from dividend $2979$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{343)}000\phantom{6}\\343\overline{)2979}\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $2979$

$$\begin{array}{l}\phantom{343)}000\phantom{7}\\343\overline{)2979}\\\end{array}$$

Find closest multiple of $343$ to $2979$. We see that $8 \times 343 = 2744$ is the nearest. Now subtract $2744$ from $2979$ to get reminder $235$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{343)}0008\phantom{8}\\343\overline{)2979}\\\phantom{343)}\underline{\phantom{}2744\phantom{}}\\\phantom{343)9}235\\\end{array}$$

Since $235$ is less than $343$, stop the division. The reminder is $235$. The topmost line $0008$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $8$.

$$\text{Quotient: }8$$ $$\text{Reminder: }235$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 331}{7 ^ {3}} = 8\frac{235}{343} = 8.685131195335277$