How to solve 2356/999

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 2356/999 | Equatix

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Question

$$\frac{2356}{999}$$

Evaluate

$\frac{2356}{999}\approx 2.358358358$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $2356$

$$\begin{array}{l}\phantom{999)}\phantom{1}\\999\overline{)2356}\\\end{array}$$

Since $2$ is less than $999$, use the next digit $3$ from dividend $2356$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{999)}0\phantom{2}\\999\overline{)2356}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $2356$

$$\begin{array}{l}\phantom{999)}0\phantom{3}\\999\overline{)2356}\\\end{array}$$

Since $23$ is less than $999$, use the next digit $5$ from dividend $2356$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{999)}00\phantom{4}\\999\overline{)2356}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $2356$

$$\begin{array}{l}\phantom{999)}00\phantom{5}\\999\overline{)2356}\\\end{array}$$

Since $235$ is less than $999$, use the next digit $6$ from dividend $2356$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{999)}000\phantom{6}\\999\overline{)2356}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $2356$

$$\begin{array}{l}\phantom{999)}000\phantom{7}\\999\overline{)2356}\\\end{array}$$

Find closest multiple of $999$ to $2356$. We see that $2 \times 999 = 1998$ is the nearest. Now subtract $1998$ from $2356$ to get reminder $358$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{999)}0002\phantom{8}\\999\overline{)2356}\\\phantom{999)}\underline{\phantom{}1998\phantom{}}\\\phantom{999)9}358\\\end{array}$$

Since $358$ is less than $999$, stop the division. The reminder is $358$. The topmost line $0002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }358$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 19 \cdot 31}{3 ^ {3} \cdot 37} = 2\frac{358}{999} = 2.3583583583583585$