How to solve (7186)/(2000)

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 (7186)/(2000) | Equatix

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Question

$$\frac{ 7186 }{ 2000 }$$

Evaluate

$\frac{3593}{1000}=3.593$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7186$

$$\begin{array}{l}\phantom{2000)}\phantom{1}\\2000\overline{)7186}\\\end{array}$$

Since $7$ is less than $2000$, use the next digit $1$ from dividend $7186$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{2000)}0\phantom{2}\\2000\overline{)7186}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $7186$

$$\begin{array}{l}\phantom{2000)}0\phantom{3}\\2000\overline{)7186}\\\end{array}$$

Since $71$ is less than $2000$, use the next digit $8$ from dividend $7186$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{2000)}00\phantom{4}\\2000\overline{)7186}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7186$

$$\begin{array}{l}\phantom{2000)}00\phantom{5}\\2000\overline{)7186}\\\end{array}$$

Since $718$ is less than $2000$, use the next digit $6$ from dividend $7186$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{2000)}000\phantom{6}\\2000\overline{)7186}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $7186$

$$\begin{array}{l}\phantom{2000)}000\phantom{7}\\2000\overline{)7186}\\\end{array}$$

Find closest multiple of $2000$ to $7186$. We see that $3 \times 2000 = 6000$ is the nearest. Now subtract $6000$ from $7186$ to get reminder $1186$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{2000)}0003\phantom{8}\\2000\overline{)7186}\\\phantom{2000)}\underline{\phantom{}6000\phantom{}}\\\phantom{2000)}1186\\\end{array}$$

Since $1186$ is less than $2000$, stop the division. The reminder is $1186$. The topmost line $0003$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $3$.

$$\text{Quotient: }3$$ $$\text{Reminder: }1186$$

Show Solution

Factor

$\frac{3593}{2 ^ {3} \cdot 5 ^ {3}} = 3\frac{593}{1000} = 3.593$