How to solve (349)/(58)

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 (349)/(58) | Equatix

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Question

$$\frac{ 349 }{ 58 }$$

Evaluate

$\frac{349}{58}\approx 6.017241379$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $349$

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)349}\\\end{array}$$

Since $3$ is less than $58$, use the next digit $4$ from dividend $349$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)349}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $349$

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)349}\\\end{array}$$

Since $34$ is less than $58$, use the next digit $9$ from dividend $349$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)349}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $349$

$$\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)349}\\\end{array}$$

Find closest multiple of $58$ to $349$. We see that $6 \times 58 = 348$ is the nearest. Now subtract $348$ from $349$ to get reminder $1$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{58)}006\phantom{6}\\58\overline{)349}\\\phantom{58)}\underline{\phantom{}348\phantom{}}\\\phantom{58)99}1\\\end{array}$$

Since $1$ is less than $58$, stop the division. The reminder is $1$. The topmost line $006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }1$$

Show Solution

Factor

$\frac{349}{2 \cdot 29} = 6\frac{1}{58} = 6.017241379310345$