How to solve (25307)/(28)

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 (25307)/(28) | Equatix

Question

$$\frac{ 25307 }{ 28 }$$

Evaluate

$\frac{25307}{28}\approx 903.821428571$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $25307$

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)25307}\\\end{array}$$

Since $2$ is less than $28$, use the next digit $5$ from dividend $25307$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)25307}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $25307$

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)25307}\\\end{array}$$

Since $25$ is less than $28$, use the next digit $3$ from dividend $25307$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)25307}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $25307$

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)25307}\\\end{array}$$

Find closest multiple of $28$ to $253$. We see that $9 \times 28 = 252$ is the nearest. Now subtract $252$ from $253$ to get reminder $1$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{28)}009\phantom{6}\\28\overline{)25307}\\\phantom{28)}\underline{\phantom{}252\phantom{99}}\\\phantom{28)99}1\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $25307$

$$\begin{array}{l}\phantom{28)}009\phantom{7}\\28\overline{)25307}\\\phantom{28)}\underline{\phantom{}252\phantom{99}}\\\phantom{28)99}10\\\end{array}$$

Since $10$ is less than $28$, use the next digit $7$ from dividend $25307$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{28)}0090\phantom{8}\\28\overline{)25307}\\\phantom{28)}\underline{\phantom{}252\phantom{99}}\\\phantom{28)99}10\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $25307$

$$\begin{array}{l}\phantom{28)}0090\phantom{9}\\28\overline{)25307}\\\phantom{28)}\underline{\phantom{}252\phantom{99}}\\\phantom{28)99}107\\\end{array}$$

Find closest multiple of $28$ to $107$. We see that $3 \times 28 = 84$ is the nearest. Now subtract $84$ from $107$ to get reminder $23$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{28)}00903\phantom{10}\\28\overline{)25307}\\\phantom{28)}\underline{\phantom{}252\phantom{99}}\\\phantom{28)99}107\\\phantom{28)}\underline{\phantom{999}84\phantom{}}\\\phantom{28)999}23\\\end{array}$$

Since $23$ is less than $28$, stop the division. The reminder is $23$. The topmost line $00903$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $903$.

$$\text{Quotient: }903$$ $$\text{Reminder: }23$$

Show Solution

Factor

$\frac{25307}{2 ^ {2} \cdot 7} = 903\frac{23}{28} = 903.8214285714286$

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Steps For Long Division Method

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