How to solve 684639/95

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 684639/95 | Equatix

Question

$$684639/95$$

Evaluate

$\frac{684639}{95}\approx 7206.726315789$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}\phantom{1}\\95\overline{)684639}\\\end{array}$$

Since $6$ is less than $95$, use the next digit $8$ from dividend $684639$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{95)}0\phantom{2}\\95\overline{)684639}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}0\phantom{3}\\95\overline{)684639}\\\end{array}$$

Since $68$ is less than $95$, use the next digit $4$ from dividend $684639$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{95)}00\phantom{4}\\95\overline{)684639}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}00\phantom{5}\\95\overline{)684639}\\\end{array}$$

Find closest multiple of $95$ to $684$. We see that $7 \times 95 = 665$ is the nearest. Now subtract $665$ from $684$ to get reminder $19$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{95)}007\phantom{6}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}19\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}007\phantom{7}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\end{array}$$

Find closest multiple of $95$ to $196$. We see that $2 \times 95 = 190$ is the nearest. Now subtract $190$ from $196$ to get reminder $6$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{95)}0072\phantom{8}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\phantom{95)}\underline{\phantom{9}190\phantom{99}}\\\phantom{95)999}6\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}0072\phantom{9}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\phantom{95)}\underline{\phantom{9}190\phantom{99}}\\\phantom{95)999}63\\\end{array}$$

Since $63$ is less than $95$, use the next digit $9$ from dividend $684639$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{95)}00720\phantom{10}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\phantom{95)}\underline{\phantom{9}190\phantom{99}}\\\phantom{95)999}63\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $684639$

$$\begin{array}{l}\phantom{95)}00720\phantom{11}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\phantom{95)}\underline{\phantom{9}190\phantom{99}}\\\phantom{95)999}639\\\end{array}$$

Find closest multiple of $95$ to $639$. We see that $6 \times 95 = 570$ is the nearest. Now subtract $570$ from $639$ to get reminder $69$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{95)}007206\phantom{12}\\95\overline{)684639}\\\phantom{95)}\underline{\phantom{}665\phantom{999}}\\\phantom{95)9}196\\\phantom{95)}\underline{\phantom{9}190\phantom{99}}\\\phantom{95)999}639\\\phantom{95)}\underline{\phantom{999}570\phantom{}}\\\phantom{95)9999}69\\\end{array}$$

Since $69$ is less than $95$, stop the division. The reminder is $69$. The topmost line $007206$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7206$.

$$\text{Quotient: }7206$$ $$\text{Reminder: }69$$

Show Solution

Factor

$\frac{3 ^ {3} \cdot 25357}{5 \cdot 19} = 7206\frac{69}{95} = 7206.726315789474$

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Steps For Long Division Method

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