How to solve (7831)/(12)

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 (7831)/(12) | Equatix

Question

$$\frac{ 7831 }{ 12 }$$

Evaluate

$\frac{7831}{12}\approx 652.583333333$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7831$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)7831}\\\end{array}$$

Since $7$ is less than $12$, use the next digit $8$ from dividend $7831$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)7831}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7831$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)7831}\\\end{array}$$

Find closest multiple of $12$ to $78$. We see that $6 \times 12 = 72$ is the nearest. Now subtract $72$ from $78$ to get reminder $6$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{12)}06\phantom{4}\\12\overline{)7831}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}6\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $7831$

$$\begin{array}{l}\phantom{12)}06\phantom{5}\\12\overline{)7831}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}63\\\end{array}$$

Find closest multiple of $12$ to $63$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $63$ to get reminder $3$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}065\phantom{6}\\12\overline{)7831}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}3\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $7831$

$$\begin{array}{l}\phantom{12)}065\phantom{7}\\12\overline{)7831}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}31\\\end{array}$$

Find closest multiple of $12$ to $31$. We see that $2 \times 12 = 24$ is the nearest. Now subtract $24$ from $31$ to get reminder $7$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{12)}0652\phantom{8}\\12\overline{)7831}\\\phantom{12)}\underline{\phantom{}72\phantom{99}}\\\phantom{12)9}63\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}31\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)999}7\\\end{array}$$

Since $7$ is less than $12$, stop the division. The reminder is $7$. The topmost line $0652$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $652$.

$$\text{Quotient: }652$$ $$\text{Reminder: }7$$

Show Solution

Factor

$\frac{41 \cdot 191}{2 ^ {2} \cdot 3} = 652\frac{7}{12} = 652.5833333333334$

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Steps For Long Division Method

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