How to solve (666)/(16)

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 (666)/(16) | Equatix

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Question

$$\frac{ 666 }{ 16 }$$

Evaluate

$\frac{333}{8}=41.625$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $666$

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)666}\\\end{array}$$

Since $6$ is less than $16$, use the next digit $6$ from dividend $666$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)666}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $666$

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)666}\\\end{array}$$

Find closest multiple of $16$ to $66$. We see that $4 \times 16 = 64$ is the nearest. Now subtract $64$ from $66$ to get reminder $2$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{16)}04\phantom{4}\\16\overline{)666}\\\phantom{16)}\underline{\phantom{}64\phantom{9}}\\\phantom{16)9}2\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $666$

$$\begin{array}{l}\phantom{16)}04\phantom{5}\\16\overline{)666}\\\phantom{16)}\underline{\phantom{}64\phantom{9}}\\\phantom{16)9}26\\\end{array}$$

Find closest multiple of $16$ to $26$. We see that $1 \times 16 = 16$ is the nearest. Now subtract $16$ from $26$ to get reminder $10$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{16)}041\phantom{6}\\16\overline{)666}\\\phantom{16)}\underline{\phantom{}64\phantom{9}}\\\phantom{16)9}26\\\phantom{16)}\underline{\phantom{9}16\phantom{}}\\\phantom{16)9}10\\\end{array}$$

Since $10$ is less than $16$, stop the division. The reminder is $10$. The topmost line $041$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $41$.

$$\text{Quotient: }41$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 37}{2 ^ {3}} = 41\frac{5}{8} = 41.625$