How to solve 27825/325

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 27825/325 | Equatix

Question

$$27825\div325$$

Evaluate

$\frac{1113}{13}\approx 85.615384615$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $27825$

$$\begin{array}{l}\phantom{325)}\phantom{1}\\325\overline{)27825}\\\end{array}$$

Since $2$ is less than $325$, use the next digit $7$ from dividend $27825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}0\phantom{2}\\325\overline{)27825}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $27825$

$$\begin{array}{l}\phantom{325)}0\phantom{3}\\325\overline{)27825}\\\end{array}$$

Since $27$ is less than $325$, use the next digit $8$ from dividend $27825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}00\phantom{4}\\325\overline{)27825}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $27825$

$$\begin{array}{l}\phantom{325)}00\phantom{5}\\325\overline{)27825}\\\end{array}$$

Since $278$ is less than $325$, use the next digit $2$ from dividend $27825$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}000\phantom{6}\\325\overline{)27825}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $27825$

$$\begin{array}{l}\phantom{325)}000\phantom{7}\\325\overline{)27825}\\\end{array}$$

Find closest multiple of $325$ to $2782$. We see that $8 \times 325 = 2600$ is the nearest. Now subtract $2600$ from $2782$ to get reminder $182$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{325)}0008\phantom{8}\\325\overline{)27825}\\\phantom{325)}\underline{\phantom{}2600\phantom{9}}\\\phantom{325)9}182\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $27825$

$$\begin{array}{l}\phantom{325)}0008\phantom{9}\\325\overline{)27825}\\\phantom{325)}\underline{\phantom{}2600\phantom{9}}\\\phantom{325)9}1825\\\end{array}$$

Find closest multiple of $325$ to $1825$. We see that $5 \times 325 = 1625$ is the nearest. Now subtract $1625$ from $1825$ to get reminder $200$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{325)}00085\phantom{10}\\325\overline{)27825}\\\phantom{325)}\underline{\phantom{}2600\phantom{9}}\\\phantom{325)9}1825\\\phantom{325)}\underline{\phantom{9}1625\phantom{}}\\\phantom{325)99}200\\\end{array}$$

Since $200$ is less than $325$, stop the division. The reminder is $200$. The topmost line $00085$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $85$.

$$\text{Quotient: }85$$ $$\text{Reminder: }200$$

Show Solution

Factor

$\frac{3 \cdot 7 \cdot 53}{13} = 85\frac{8}{13} = 85.61538461538461$

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Steps For Long Division Method

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