How to solve 65068 ( 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 65068 ( 86 | Equatix

Question

$$\frac { 89059 } { 98 }$$

Evaluate

$\frac{89059}{98}\approx 908.765306122$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $89059$

$$\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)89059}\\\end{array}$$

Since $8$ is less than $98$, use the next digit $9$ from dividend $89059$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)89059}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $89059$

$$\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)89059}\\\end{array}$$

Since $89$ is less than $98$, use the next digit $0$ from dividend $89059$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)89059}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $89059$

$$\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)89059}\\\end{array}$$

Find closest multiple of $98$ to $890$. We see that $9 \times 98 = 882$ is the nearest. Now subtract $882$ from $890$ to get reminder $8$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{98)}009\phantom{6}\\98\overline{)89059}\\\phantom{98)}\underline{\phantom{}882\phantom{99}}\\\phantom{98)99}8\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $89059$

$$\begin{array}{l}\phantom{98)}009\phantom{7}\\98\overline{)89059}\\\phantom{98)}\underline{\phantom{}882\phantom{99}}\\\phantom{98)99}85\\\end{array}$$

Since $85$ is less than $98$, use the next digit $9$ from dividend $89059$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{98)}0090\phantom{8}\\98\overline{)89059}\\\phantom{98)}\underline{\phantom{}882\phantom{99}}\\\phantom{98)99}85\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $89059$

$$\begin{array}{l}\phantom{98)}0090\phantom{9}\\98\overline{)89059}\\\phantom{98)}\underline{\phantom{}882\phantom{99}}\\\phantom{98)99}859\\\end{array}$$

Find closest multiple of $98$ to $859$. We see that $8 \times 98 = 784$ is the nearest. Now subtract $784$ from $859$ to get reminder $75$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{98)}00908\phantom{10}\\98\overline{)89059}\\\phantom{98)}\underline{\phantom{}882\phantom{99}}\\\phantom{98)99}859\\\phantom{98)}\underline{\phantom{99}784\phantom{}}\\\phantom{98)999}75\\\end{array}$$

Since $75$ is less than $98$, stop the division. The reminder is $75$. The topmost line $00908$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $908$.

$$\text{Quotient: }908$$ $$\text{Reminder: }75$$

Show Solution

Factor

$\frac{29 \cdot 37 \cdot 83}{2 \cdot 7 ^ {2}} = 908\frac{75}{98} = 908.765306122449$

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Steps For Long Division Method

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