How to solve (21376)/(10000)

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 (21376)/(10000) | Equatix

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Question

$$\frac{ 21376 }{ 10000 }$$

Evaluate

$\frac{1336}{625}=2.1376$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $21376$

$$\begin{array}{l}\phantom{10000)}\phantom{1}\\10000\overline{)21376}\\\end{array}$$

Since $2$ is less than $10000$, use the next digit $1$ from dividend $21376$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}0\phantom{2}\\10000\overline{)21376}\\\end{array}$$

Use the $2^{nd}$ digit $1$ from dividend $21376$

$$\begin{array}{l}\phantom{10000)}0\phantom{3}\\10000\overline{)21376}\\\end{array}$$

Since $21$ is less than $10000$, use the next digit $3$ from dividend $21376$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}00\phantom{4}\\10000\overline{)21376}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $21376$

$$\begin{array}{l}\phantom{10000)}00\phantom{5}\\10000\overline{)21376}\\\end{array}$$

Since $213$ is less than $10000$, use the next digit $7$ from dividend $21376$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}000\phantom{6}\\10000\overline{)21376}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $21376$

$$\begin{array}{l}\phantom{10000)}000\phantom{7}\\10000\overline{)21376}\\\end{array}$$

Since $2137$ is less than $10000$, use the next digit $6$ from dividend $21376$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10000)}0000\phantom{8}\\10000\overline{)21376}\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $21376$

$$\begin{array}{l}\phantom{10000)}0000\phantom{9}\\10000\overline{)21376}\\\end{array}$$

Find closest multiple of $10000$ to $21376$. We see that $2 \times 10000 = 20000$ is the nearest. Now subtract $20000$ from $21376$ to get reminder $1376$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{10000)}00002\phantom{10}\\10000\overline{)21376}\\\phantom{10000)}\underline{\phantom{}20000\phantom{}}\\\phantom{10000)9}1376\\\end{array}$$

Since $1376$ is less than $10000$, stop the division. The reminder is $1376$. The topmost line $00002$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2$.

$$\text{Quotient: }2$$ $$\text{Reminder: }1376$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 167}{5 ^ {4}} = 2\frac{86}{625} = 2.1376$