How to solve (57825)/(90)

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 (57825)/(90) | Equatix

Question

$$\frac{ 57825 }{ 90 }$$

Evaluate

$\frac{1285}{2}=642.5$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $57825$

$$\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)57825}\\\end{array}$$

Since $5$ is less than $90$, use the next digit $7$ from dividend $57825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)57825}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $57825$

$$\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)57825}\\\end{array}$$

Since $57$ is less than $90$, use the next digit $8$ from dividend $57825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)57825}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $57825$

$$\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)57825}\\\end{array}$$

Find closest multiple of $90$ to $578$. We see that $6 \times 90 = 540$ is the nearest. Now subtract $540$ from $578$ to get reminder $38$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{90)}006\phantom{6}\\90\overline{)57825}\\\phantom{90)}\underline{\phantom{}540\phantom{99}}\\\phantom{90)9}38\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $57825$

$$\begin{array}{l}\phantom{90)}006\phantom{7}\\90\overline{)57825}\\\phantom{90)}\underline{\phantom{}540\phantom{99}}\\\phantom{90)9}382\\\end{array}$$

Find closest multiple of $90$ to $382$. We see that $4 \times 90 = 360$ is the nearest. Now subtract $360$ from $382$ to get reminder $22$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{90)}0064\phantom{8}\\90\overline{)57825}\\\phantom{90)}\underline{\phantom{}540\phantom{99}}\\\phantom{90)9}382\\\phantom{90)}\underline{\phantom{9}360\phantom{9}}\\\phantom{90)99}22\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $57825$

$$\begin{array}{l}\phantom{90)}0064\phantom{9}\\90\overline{)57825}\\\phantom{90)}\underline{\phantom{}540\phantom{99}}\\\phantom{90)9}382\\\phantom{90)}\underline{\phantom{9}360\phantom{9}}\\\phantom{90)99}225\\\end{array}$$

Find closest multiple of $90$ to $225$. We see that $2 \times 90 = 180$ is the nearest. Now subtract $180$ from $225$ to get reminder $45$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{90)}00642\phantom{10}\\90\overline{)57825}\\\phantom{90)}\underline{\phantom{}540\phantom{99}}\\\phantom{90)9}382\\\phantom{90)}\underline{\phantom{9}360\phantom{9}}\\\phantom{90)99}225\\\phantom{90)}\underline{\phantom{99}180\phantom{}}\\\phantom{90)999}45\\\end{array}$$

Since $45$ is less than $90$, stop the division. The reminder is $45$. The topmost line $00642$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $642$.

$$\text{Quotient: }642$$ $$\text{Reminder: }45$$

Show Solution

Factor

$\frac{5 \cdot 257}{2} = 642\frac{1}{2} = 642.5$

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Steps For Long Division Method

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