How to solve 89623/824

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 89623/824 | Equatix

Question

$$89623/824$$

Evaluate

$\frac{89623}{824}\approx 108.765776699$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $89623$

$$\begin{array}{l}\phantom{824)}\phantom{1}\\824\overline{)89623}\\\end{array}$$

Since $8$ is less than $824$, use the next digit $9$ from dividend $89623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}0\phantom{2}\\824\overline{)89623}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $89623$

$$\begin{array}{l}\phantom{824)}0\phantom{3}\\824\overline{)89623}\\\end{array}$$

Since $89$ is less than $824$, use the next digit $6$ from dividend $89623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}00\phantom{4}\\824\overline{)89623}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $89623$

$$\begin{array}{l}\phantom{824)}00\phantom{5}\\824\overline{)89623}\\\end{array}$$

Find closest multiple of $824$ to $896$. We see that $1 \times 824 = 824$ is the nearest. Now subtract $824$ from $896$ to get reminder $72$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{824)}001\phantom{6}\\824\overline{)89623}\\\phantom{824)}\underline{\phantom{}824\phantom{99}}\\\phantom{824)9}72\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $89623$

$$\begin{array}{l}\phantom{824)}001\phantom{7}\\824\overline{)89623}\\\phantom{824)}\underline{\phantom{}824\phantom{99}}\\\phantom{824)9}722\\\end{array}$$

Since $722$ is less than $824$, use the next digit $3$ from dividend $89623$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{824)}0010\phantom{8}\\824\overline{)89623}\\\phantom{824)}\underline{\phantom{}824\phantom{99}}\\\phantom{824)9}722\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $89623$

$$\begin{array}{l}\phantom{824)}0010\phantom{9}\\824\overline{)89623}\\\phantom{824)}\underline{\phantom{}824\phantom{99}}\\\phantom{824)9}7223\\\end{array}$$

Find closest multiple of $824$ to $7223$. We see that $8 \times 824 = 6592$ is the nearest. Now subtract $6592$ from $7223$ to get reminder $631$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{824)}00108\phantom{10}\\824\overline{)89623}\\\phantom{824)}\underline{\phantom{}824\phantom{99}}\\\phantom{824)9}7223\\\phantom{824)}\underline{\phantom{9}6592\phantom{}}\\\phantom{824)99}631\\\end{array}$$

Since $631$ is less than $824$, stop the division. The reminder is $631$. The topmost line $00108$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $108$.

$$\text{Quotient: }108$$ $$\text{Reminder: }631$$

Show Solution

Factor

$\frac{19 \cdot 53 \cdot 89}{2 ^ {3} \cdot 103} = 108\frac{631}{824} = 108.76577669902913$

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Steps For Long Division Method

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