How to solve 1360/531

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 1360/531 | Equatix

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Question

$$1360/531$$

Evaluate

$\frac{1360}{531}\approx 2.561205273$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1360$

$$\begin{array}{l}\phantom{531)}\phantom{1}\\531\overline{)1360}\\\end{array}$$

Since $1$ is less than $531$, use the next digit $3$ from dividend $1360$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{531)}0\phantom{2}\\531\overline{)1360}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $1360$

$$\begin{array}{l}\phantom{531)}0\phantom{3}\\531\overline{)1360}\\\end{array}$$

Since $13$ is less than $531$, use the next digit $6$ from dividend $1360$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{531)}00\phantom{4}\\531\overline{)1360}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $1360$

$$\begin{array}{l}\phantom{531)}00\phantom{5}\\531\overline{)1360}\\\end{array}$$

Since $136$ is less than $531$, use the next digit $0$ from dividend $1360$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{531)}000\phantom{6}\\531\overline{)1360}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1360$

$$\begin{array}{l}\phantom{531)}000\phantom{7}\\531\overline{)1360}\\\end{array}$$

Find closest multiple of $531$ to $1360$. We see that $2 \times 531 = 1062$ is the nearest. Now subtract $1062$ from $1360$ to get reminder $298$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{531)}0002\phantom{8}\\531\overline{)1360}\\\phantom{531)}\underline{\phantom{}1062\phantom{}}\\\phantom{531)9}298\\\end{array}$$

Since $298$ is less than $531$, stop the division. The reminder is $298$. The topmost line $0002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }298$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 5 \cdot 17}{3 ^ {2} \cdot 59} = 2\frac{298}{531} = 2.56120527306968$