How to solve 64/10516

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 64/10516 | Equatix

Question

$$\frac { 10516 } { 64 }$$

Evaluate

$\frac{2629}{16}=164.3125$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $10516$

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)10516}\\\end{array}$$

Since $1$ is less than $64$, use the next digit $0$ from dividend $10516$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)10516}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10516$

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)10516}\\\end{array}$$

Since $10$ is less than $64$, use the next digit $5$ from dividend $10516$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)10516}\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $10516$

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)10516}\\\end{array}$$

Find closest multiple of $64$ to $105$. We see that $1 \times 64 = 64$ is the nearest. Now subtract $64$ from $105$ to get reminder $41$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{64)}001\phantom{6}\\64\overline{)10516}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}41\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $10516$

$$\begin{array}{l}\phantom{64)}001\phantom{7}\\64\overline{)10516}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}411\\\end{array}$$

Find closest multiple of $64$ to $411$. We see that $6 \times 64 = 384$ is the nearest. Now subtract $384$ from $411$ to get reminder $27$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{64)}0016\phantom{8}\\64\overline{)10516}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}411\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}27\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $10516$

$$\begin{array}{l}\phantom{64)}0016\phantom{9}\\64\overline{)10516}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}411\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}276\\\end{array}$$

Find closest multiple of $64$ to $276$. We see that $4 \times 64 = 256$ is the nearest. Now subtract $256$ from $276$ to get reminder $20$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{64)}00164\phantom{10}\\64\overline{)10516}\\\phantom{64)}\underline{\phantom{9}64\phantom{99}}\\\phantom{64)9}411\\\phantom{64)}\underline{\phantom{9}384\phantom{9}}\\\phantom{64)99}276\\\phantom{64)}\underline{\phantom{99}256\phantom{}}\\\phantom{64)999}20\\\end{array}$$

Since $20$ is less than $64$, stop the division. The reminder is $20$. The topmost line $00164$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $164$.

$$\text{Quotient: }164$$ $$\text{Reminder: }20$$

Show Solution

Factor

$\frac{11 \cdot 239}{2 ^ {4}} = 164\frac{5}{16} = 164.3125$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor