How to solve (456)/(78)

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 (456)/(78) | Equatix

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Question

$$\frac{ 456 }{ 78 }$$

Evaluate

$\frac{76}{13}\approx 5.846153846$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $456$

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)456}\\\end{array}$$

Since $4$ is less than $78$, use the next digit $5$ from dividend $456$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)456}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $456$

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)456}\\\end{array}$$

Since $45$ is less than $78$, use the next digit $6$ from dividend $456$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)456}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $456$

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)456}\\\end{array}$$

Find closest multiple of $78$ to $456$. We see that $5 \times 78 = 390$ is the nearest. Now subtract $390$ from $456$ to get reminder $66$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{78)}005\phantom{6}\\78\overline{)456}\\\phantom{78)}\underline{\phantom{}390\phantom{}}\\\phantom{78)9}66\\\end{array}$$

Since $66$ is less than $78$, stop the division. The reminder is $66$. The topmost line $005$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5$.

$$\text{Quotient: }5$$ $$\text{Reminder: }66$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 19}{13} = 5\frac{11}{13} = 5.846153846153846$