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.

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Question

$$7337 \div 24$$

Evaluate

$\frac{7337}{24}\approx 305.708333333$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7337$

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)7337}\\\end{array}$$

Since $7$ is less than $24$, use the next digit $3$ from dividend $7337$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)7337}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $7337$

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)7337}\\\end{array}$$

Find closest multiple of $24$ to $73$. We see that $3 \times 24 = 72$ is the nearest. Now subtract $72$ from $73$ to get reminder $1$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{24)}03\phantom{4}\\24\overline{)7337}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)9}1\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $7337$

$$\begin{array}{l}\phantom{24)}03\phantom{5}\\24\overline{)7337}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)9}13\\\end{array}$$

Since $13$ is less than $24$, use the next digit $7$ from dividend $7337$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{24)}030\phantom{6}\\24\overline{)7337}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)9}13\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $7337$

$$\begin{array}{l}\phantom{24)}030\phantom{7}\\24\overline{)7337}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)9}137\\\end{array}$$

Find closest multiple of $24$ to $137$. We see that $5 \times 24 = 120$ is the nearest. Now subtract $120$ from $137$ to get reminder $17$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{24)}0305\phantom{8}\\24\overline{)7337}\\\phantom{24)}\underline{\phantom{}72\phantom{99}}\\\phantom{24)9}137\\\phantom{24)}\underline{\phantom{9}120\phantom{}}\\\phantom{24)99}17\\\end{array}$$

Since $17$ is less than $24$, stop the division. The reminder is $17$. The topmost line $0305$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $305$.

$$\text{Quotient: }305$$ $$\text{Reminder: }17$$

Show Solution

Factor

$\frac{11 \cdot 23 \cdot 29}{2 ^ {3} \cdot 3} = 305\frac{17}{24} = 305.7083333333333$