How to solve (54234)/(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 (54234)/(78) | Equatix

Question

$$\frac{ 54234 }{ 78 }$$

Evaluate

$\frac{9039}{13}\approx 695.307692308$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $54234$

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)54234}\\\end{array}$$

Since $5$ is less than $78$, use the next digit $4$ from dividend $54234$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)54234}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $54234$

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)54234}\\\end{array}$$

Since $54$ is less than $78$, use the next digit $2$ from dividend $54234$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)54234}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $54234$

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)54234}\\\end{array}$$

Find closest multiple of $78$ to $542$. We see that $6 \times 78 = 468$ is the nearest. Now subtract $468$ from $542$ to get reminder $74$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{78)}006\phantom{6}\\78\overline{)54234}\\\phantom{78)}\underline{\phantom{}468\phantom{99}}\\\phantom{78)9}74\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $54234$

$$\begin{array}{l}\phantom{78)}006\phantom{7}\\78\overline{)54234}\\\phantom{78)}\underline{\phantom{}468\phantom{99}}\\\phantom{78)9}743\\\end{array}$$

Find closest multiple of $78$ to $743$. We see that $9 \times 78 = 702$ is the nearest. Now subtract $702$ from $743$ to get reminder $41$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{78)}0069\phantom{8}\\78\overline{)54234}\\\phantom{78)}\underline{\phantom{}468\phantom{99}}\\\phantom{78)9}743\\\phantom{78)}\underline{\phantom{9}702\phantom{9}}\\\phantom{78)99}41\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $54234$

$$\begin{array}{l}\phantom{78)}0069\phantom{9}\\78\overline{)54234}\\\phantom{78)}\underline{\phantom{}468\phantom{99}}\\\phantom{78)9}743\\\phantom{78)}\underline{\phantom{9}702\phantom{9}}\\\phantom{78)99}414\\\end{array}$$

Find closest multiple of $78$ to $414$. We see that $5 \times 78 = 390$ is the nearest. Now subtract $390$ from $414$ to get reminder $24$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{78)}00695\phantom{10}\\78\overline{)54234}\\\phantom{78)}\underline{\phantom{}468\phantom{99}}\\\phantom{78)9}743\\\phantom{78)}\underline{\phantom{9}702\phantom{9}}\\\phantom{78)99}414\\\phantom{78)}\underline{\phantom{99}390\phantom{}}\\\phantom{78)999}24\\\end{array}$$

Since $24$ is less than $78$, stop the division. The reminder is $24$. The topmost line $00695$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $695$.

$$\text{Quotient: }695$$ $$\text{Reminder: }24$$

Show Solution

Factor

$\frac{3 \cdot 23 \cdot 131}{13} = 695\frac{4}{13} = 695.3076923076923$

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Steps For Long Division Method

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