How to solve (784)/(81)

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 (784)/(81) | Equatix

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Question

$$\frac{ 784 }{ 81 }$$

Evaluate

$\frac{784}{81}\approx 9.679012346$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $784$

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)784}\\\end{array}$$

Since $7$ is less than $81$, use the next digit $8$ from dividend $784$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)784}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $784$

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)784}\\\end{array}$$

Since $78$ is less than $81$, use the next digit $4$ from dividend $784$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)784}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $784$

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)784}\\\end{array}$$

Find closest multiple of $81$ to $784$. We see that $9 \times 81 = 729$ is the nearest. Now subtract $729$ from $784$ to get reminder $55$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{81)}009\phantom{6}\\81\overline{)784}\\\phantom{81)}\underline{\phantom{}729\phantom{}}\\\phantom{81)9}55\\\end{array}$$

Since $55$ is less than $81$, stop the division. The reminder is $55$. The topmost line $009$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $9$.

$$\text{Quotient: }9$$ $$\text{Reminder: }55$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 7 ^ {2}}{3 ^ {4}} = 9\frac{55}{81} = 9.679012345679013$