How to solve (7866)/(19)

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 (7866)/(19) | Equatix

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Question

$$\frac{ 7866 }{ 19 }$$

Evaluate

$414$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7866$

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)7866}\\\end{array}$$

Since $7$ is less than $19$, use the next digit $8$ from dividend $7866$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)7866}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7866$

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)7866}\\\end{array}$$

Find closest multiple of $19$ to $78$. We see that $4 \times 19 = 76$ is the nearest. Now subtract $76$ from $78$ to get reminder $2$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{19)}04\phantom{4}\\19\overline{)7866}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}2\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $7866$

$$\begin{array}{l}\phantom{19)}04\phantom{5}\\19\overline{)7866}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}26\\\end{array}$$

Find closest multiple of $19$ to $26$. We see that $1 \times 19 = 19$ is the nearest. Now subtract $19$ from $26$ to get reminder $7$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{19)}041\phantom{6}\\19\overline{)7866}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}26\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}7\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $7866$

$$\begin{array}{l}\phantom{19)}041\phantom{7}\\19\overline{)7866}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}26\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}76\\\end{array}$$

Find closest multiple of $19$ to $76$. We see that $4 \times 19 = 76$ is the nearest. Now subtract $76$ from $76$ to get reminder $0$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{19)}0414\phantom{8}\\19\overline{)7866}\\\phantom{19)}\underline{\phantom{}76\phantom{99}}\\\phantom{19)9}26\\\phantom{19)}\underline{\phantom{9}19\phantom{9}}\\\phantom{19)99}76\\\phantom{19)}\underline{\phantom{99}76\phantom{}}\\\phantom{19)9999}0\\\end{array}$$

Since $0$ is less than $19$, stop the division. The reminder is $0$. The topmost line $0414$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $414$.

$$\text{Quotient: }414$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2\times 3^{2}\times 23$