How to solve (6664)/(1000)

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 (6664)/(1000) | Equatix

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Question

$$\frac{ 6664 }{ 1000 }$$

Evaluate

$\frac{833}{125}=6.664$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6664$

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)6664}\\\end{array}$$

Since $6$ is less than $1000$, use the next digit $6$ from dividend $6664$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)6664}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $6664$

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)6664}\\\end{array}$$

Since $66$ is less than $1000$, use the next digit $6$ from dividend $6664$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)6664}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $6664$

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)6664}\\\end{array}$$

Since $666$ is less than $1000$, use the next digit $4$ from dividend $6664$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)6664}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $6664$

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)6664}\\\end{array}$$

Find closest multiple of $1000$ to $6664$. We see that $6 \times 1000 = 6000$ is the nearest. Now subtract $6000$ from $6664$ to get reminder $664$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{1000)}0006\phantom{8}\\1000\overline{)6664}\\\phantom{1000)}\underline{\phantom{}6000\phantom{}}\\\phantom{1000)9}664\\\end{array}$$

Since $664$ is less than $1000$, stop the division. The reminder is $664$. The topmost line $0006$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6$.

$$\text{Quotient: }6$$ $$\text{Reminder: }664$$

Show Solution

Factor

$\frac{7 ^ {2} \cdot 17}{5 ^ {3}} = 6\frac{83}{125} = 6.664$