How to solve (10000)/(256)

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 (10000)/(256) | Equatix

Question

$$\frac{ 10000 }{ 256 }$$

Evaluate

$\frac{625}{16}=39.0625$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $10000$

$$\begin{array}{l}\phantom{256)}\phantom{1}\\256\overline{)10000}\\\end{array}$$

Since $1$ is less than $256$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{256)}0\phantom{2}\\256\overline{)10000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{256)}0\phantom{3}\\256\overline{)10000}\\\end{array}$$

Since $10$ is less than $256$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{256)}00\phantom{4}\\256\overline{)10000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{256)}00\phantom{5}\\256\overline{)10000}\\\end{array}$$

Since $100$ is less than $256$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{256)}000\phantom{6}\\256\overline{)10000}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{256)}000\phantom{7}\\256\overline{)10000}\\\end{array}$$

Find closest multiple of $256$ to $1000$. We see that $3 \times 256 = 768$ is the nearest. Now subtract $768$ from $1000$ to get reminder $232$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{256)}0003\phantom{8}\\256\overline{)10000}\\\phantom{256)}\underline{\phantom{9}768\phantom{9}}\\\phantom{256)9}232\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{256)}0003\phantom{9}\\256\overline{)10000}\\\phantom{256)}\underline{\phantom{9}768\phantom{9}}\\\phantom{256)9}2320\\\end{array}$$

Find closest multiple of $256$ to $2320$. We see that $9 \times 256 = 2304$ is the nearest. Now subtract $2304$ from $2320$ to get reminder $16$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{256)}00039\phantom{10}\\256\overline{)10000}\\\phantom{256)}\underline{\phantom{9}768\phantom{9}}\\\phantom{256)9}2320\\\phantom{256)}\underline{\phantom{9}2304\phantom{}}\\\phantom{256)999}16\\\end{array}$$

Since $16$ is less than $256$, stop the division. The reminder is $16$. The topmost line $00039$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $39$.

$$\text{Quotient: }39$$ $$\text{Reminder: }16$$

Show Solution

Factor

$\frac{5 ^ {4}}{2 ^ {4}} = 39\frac{1}{16} = 39.0625$

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Steps For Long Division Method

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