How to solve (239)/(43)

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 (239)/(43) | Equatix

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Question

$$\frac{ 239 }{ 43 }$$

Evaluate

$\frac{239}{43}\approx 5.558139535$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $239$

$$\begin{array}{l}\phantom{43)}\phantom{1}\\43\overline{)239}\\\end{array}$$

Since $2$ is less than $43$, use the next digit $3$ from dividend $239$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}0\phantom{2}\\43\overline{)239}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $239$

$$\begin{array}{l}\phantom{43)}0\phantom{3}\\43\overline{)239}\\\end{array}$$

Since $23$ is less than $43$, use the next digit $9$ from dividend $239$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{43)}00\phantom{4}\\43\overline{)239}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $239$

$$\begin{array}{l}\phantom{43)}00\phantom{5}\\43\overline{)239}\\\end{array}$$

Find closest multiple of $43$ to $239$. We see that $5 \times 43 = 215$ is the nearest. Now subtract $215$ from $239$ to get reminder $24$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{43)}005\phantom{6}\\43\overline{)239}\\\phantom{43)}\underline{\phantom{}215\phantom{}}\\\phantom{43)9}24\\\end{array}$$

Since $24$ is less than $43$, stop the division. The reminder is $24$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{239}{43} = 5\frac{24}{43} = 5.558139534883721$