How to solve (239)/(40)

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)/(40) | Equatix

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Question

$$\frac{ 239 }{ 40 }$$

Evaluate

$\frac{239}{40}=5.975$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)239}\\\end{array}$$

Since $2$ is less than $40$, use the next digit $3$ from dividend $239$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)239}\\\end{array}$$

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

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)239}\\\end{array}$$

Since $23$ is less than $40$, use the next digit $9$ from dividend $239$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)239}\\\end{array}$$

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

$$\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)239}\\\end{array}$$

Find closest multiple of $40$ to $239$. We see that $5 \times 40 = 200$ is the nearest. Now subtract $200$ from $239$ to get reminder $39$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{40)}005\phantom{6}\\40\overline{)239}\\\phantom{40)}\underline{\phantom{}200\phantom{}}\\\phantom{40)9}39\\\end{array}$$

Since $39$ is less than $40$, stop the division. The reminder is $39$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }39$$

Show Solution

Factor

$\frac{239}{2 ^ {3} \cdot 5} = 5\frac{39}{40} = 5.975$