How to solve b . 9320/86

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 b . 9320/86 | Equatix

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Question

$$9320 \div 86$$

Evaluate

$\frac{4660}{43}\approx 108.372093023$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9320$

$$\begin{array}{l}\phantom{86)}\phantom{1}\\86\overline{)9320}\\\end{array}$$

Since $9$ is less than $86$, use the next digit $3$ from dividend $9320$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{86)}0\phantom{2}\\86\overline{)9320}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $9320$

$$\begin{array}{l}\phantom{86)}0\phantom{3}\\86\overline{)9320}\\\end{array}$$

Find closest multiple of $86$ to $93$. We see that $1 \times 86 = 86$ is the nearest. Now subtract $86$ from $93$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{86)}01\phantom{4}\\86\overline{)9320}\\\phantom{86)}\underline{\phantom{}86\phantom{99}}\\\phantom{86)9}7\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $9320$

$$\begin{array}{l}\phantom{86)}01\phantom{5}\\86\overline{)9320}\\\phantom{86)}\underline{\phantom{}86\phantom{99}}\\\phantom{86)9}72\\\end{array}$$

Since $72$ is less than $86$, use the next digit $0$ from dividend $9320$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{86)}010\phantom{6}\\86\overline{)9320}\\\phantom{86)}\underline{\phantom{}86\phantom{99}}\\\phantom{86)9}72\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $9320$

$$\begin{array}{l}\phantom{86)}010\phantom{7}\\86\overline{)9320}\\\phantom{86)}\underline{\phantom{}86\phantom{99}}\\\phantom{86)9}720\\\end{array}$$

Find closest multiple of $86$ to $720$. We see that $8 \times 86 = 688$ is the nearest. Now subtract $688$ from $720$ to get reminder $32$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{86)}0108\phantom{8}\\86\overline{)9320}\\\phantom{86)}\underline{\phantom{}86\phantom{99}}\\\phantom{86)9}720\\\phantom{86)}\underline{\phantom{9}688\phantom{}}\\\phantom{86)99}32\\\end{array}$$

Since $32$ is less than $86$, stop the division. The reminder is $32$. The topmost line $0108$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $108$.

$$\text{Quotient: }108$$ $$\text{Reminder: }32$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 5 \cdot 233}{43} = 108\frac{16}{43} = 108.37209302325581$