How to solve 12895/325

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 12895/325 | Equatix

Question

$$12895\div325$$

Evaluate

$\frac{2579}{65}\approx 39.676923077$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $12895$

$$\begin{array}{l}\phantom{325)}\phantom{1}\\325\overline{)12895}\\\end{array}$$

Since $1$ is less than $325$, use the next digit $2$ from dividend $12895$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}0\phantom{2}\\325\overline{)12895}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $12895$

$$\begin{array}{l}\phantom{325)}0\phantom{3}\\325\overline{)12895}\\\end{array}$$

Since $12$ is less than $325$, use the next digit $8$ from dividend $12895$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}00\phantom{4}\\325\overline{)12895}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $12895$

$$\begin{array}{l}\phantom{325)}00\phantom{5}\\325\overline{)12895}\\\end{array}$$

Since $128$ is less than $325$, use the next digit $9$ from dividend $12895$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{325)}000\phantom{6}\\325\overline{)12895}\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $12895$

$$\begin{array}{l}\phantom{325)}000\phantom{7}\\325\overline{)12895}\\\end{array}$$

Find closest multiple of $325$ to $1289$. We see that $3 \times 325 = 975$ is the nearest. Now subtract $975$ from $1289$ to get reminder $314$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{325)}0003\phantom{8}\\325\overline{)12895}\\\phantom{325)}\underline{\phantom{9}975\phantom{9}}\\\phantom{325)9}314\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $12895$

$$\begin{array}{l}\phantom{325)}0003\phantom{9}\\325\overline{)12895}\\\phantom{325)}\underline{\phantom{9}975\phantom{9}}\\\phantom{325)9}3145\\\end{array}$$

Find closest multiple of $325$ to $3145$. We see that $9 \times 325 = 2925$ is the nearest. Now subtract $2925$ from $3145$ to get reminder $220$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{325)}00039\phantom{10}\\325\overline{)12895}\\\phantom{325)}\underline{\phantom{9}975\phantom{9}}\\\phantom{325)9}3145\\\phantom{325)}\underline{\phantom{9}2925\phantom{}}\\\phantom{325)99}220\\\end{array}$$

Since $220$ is less than $325$, stop the division. The reminder is $220$. The topmost line $00039$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $39$.

$$\text{Quotient: }39$$ $$\text{Reminder: }220$$

Show Solution

Factor

$\frac{2579}{5 \cdot 13} = 39\frac{44}{65} = 39.676923076923075$

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Steps For Long Division Method

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