How to solve (25345)/(25)

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 (25345)/(25) | Equatix

Question

$$\frac{ 25345 }{ 25 }$$

Evaluate

$\frac{5069}{5}=1013.8$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $25345$

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)25345}\\\end{array}$$

Since $2$ is less than $25$, use the next digit $5$ from dividend $25345$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)25345}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $25345$

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)25345}\\\end{array}$$

Find closest multiple of $25$ to $25$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $25$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}0\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $25345$

$$\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}3\\\end{array}$$

Since $3$ is less than $25$, use the next digit $4$ from dividend $25345$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{25)}010\phantom{6}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}3\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $25345$

$$\begin{array}{l}\phantom{25)}010\phantom{7}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}34\\\end{array}$$

Find closest multiple of $25$ to $34$. We see that $1 \times 25 = 25$ is the nearest. Now subtract $25$ from $34$ to get reminder $9$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{25)}0101\phantom{8}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}34\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)999}9\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $25345$

$$\begin{array}{l}\phantom{25)}0101\phantom{9}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}34\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)999}95\\\end{array}$$

Find closest multiple of $25$ to $95$. We see that $3 \times 25 = 75$ is the nearest. Now subtract $75$ from $95$ to get reminder $20$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{25)}01013\phantom{10}\\25\overline{)25345}\\\phantom{25)}\underline{\phantom{}25\phantom{999}}\\\phantom{25)99}34\\\phantom{25)}\underline{\phantom{99}25\phantom{9}}\\\phantom{25)999}95\\\phantom{25)}\underline{\phantom{999}75\phantom{}}\\\phantom{25)999}20\\\end{array}$$

Since $20$ is less than $25$, stop the division. The reminder is $20$. The topmost line $01013$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1013$.

$$\text{Quotient: }1013$$ $$\text{Reminder: }20$$

Show Solution

Factor

$\frac{37 \cdot 137}{5} = 1013\frac{4}{5} = 1013.8$

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Steps For Long Division Method

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