How to solve (2468)/(648)

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 (2468)/(648) | Equatix

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Question

$$\frac{ 2468 }{ 648 }$$

Evaluate

$\frac{617}{162}\approx 3.808641975$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2468$

$$\begin{array}{l}\phantom{648)}\phantom{1}\\648\overline{)2468}\\\end{array}$$

Since $2$ is less than $648$, use the next digit $4$ from dividend $2468$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{648)}0\phantom{2}\\648\overline{)2468}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $2468$

$$\begin{array}{l}\phantom{648)}0\phantom{3}\\648\overline{)2468}\\\end{array}$$

Since $24$ is less than $648$, use the next digit $6$ from dividend $2468$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{648)}00\phantom{4}\\648\overline{)2468}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $2468$

$$\begin{array}{l}\phantom{648)}00\phantom{5}\\648\overline{)2468}\\\end{array}$$

Since $246$ is less than $648$, use the next digit $8$ from dividend $2468$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{648)}000\phantom{6}\\648\overline{)2468}\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $2468$

$$\begin{array}{l}\phantom{648)}000\phantom{7}\\648\overline{)2468}\\\end{array}$$

Find closest multiple of $648$ to $2468$. We see that $3 \times 648 = 1944$ is the nearest. Now subtract $1944$ from $2468$ to get reminder $524$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{648)}0003\phantom{8}\\648\overline{)2468}\\\phantom{648)}\underline{\phantom{}1944\phantom{}}\\\phantom{648)9}524\\\end{array}$$

Since $524$ is less than $648$, stop the division. The reminder is $524$. The topmost line $0003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }524$$

Show Solution

Factor

$\frac{617}{2 \cdot 3 ^ {4}} = 3\frac{131}{162} = 3.808641975308642$