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 1711875 | Equatix

Use the $1^{st}$ digit $1$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}\phantom{1}\\249\overline{)1711875}\\\end{array}$$

Since $1$ is less than $249$, use the next digit $7$ from dividend $1711875$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{249)}0\phantom{2}\\249\overline{)1711875}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}0\phantom{3}\\249\overline{)1711875}\\\end{array}$$

Since $17$ is less than $249$, use the next digit $1$ from dividend $1711875$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{249)}00\phantom{4}\\249\overline{)1711875}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}00\phantom{5}\\249\overline{)1711875}\\\end{array}$$

Since $171$ is less than $249$, use the next digit $1$ from dividend $1711875$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{249)}000\phantom{6}\\249\overline{)1711875}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}000\phantom{7}\\249\overline{)1711875}\\\end{array}$$

Find closest multiple of $249$ to $1711$. We see that $6 \times 249 = 1494$ is the nearest. Now subtract $1494$ from $1711$ to get reminder $217$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{249)}0006\phantom{8}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}217\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}0006\phantom{9}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\end{array}$$

Find closest multiple of $249$ to $2178$. We see that $8 \times 249 = 1992$ is the nearest. Now subtract $1992$ from $2178$ to get reminder $186$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{249)}00068\phantom{10}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\phantom{249)}\underline{\phantom{9}1992\phantom{99}}\\\phantom{249)99}186\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}00068\phantom{11}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\phantom{249)}\underline{\phantom{9}1992\phantom{99}}\\\phantom{249)99}1867\\\end{array}$$

Find closest multiple of $249$ to $1867$. We see that $7 \times 249 = 1743$ is the nearest. Now subtract $1743$ from $1867$ to get reminder $124$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{249)}000687\phantom{12}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\phantom{249)}\underline{\phantom{9}1992\phantom{99}}\\\phantom{249)99}1867\\\phantom{249)}\underline{\phantom{99}1743\phantom{9}}\\\phantom{249)999}124\\\end{array}$$

Use the $7^{th}$ digit $5$ from dividend $1711875$

$$\begin{array}{l}\phantom{249)}000687\phantom{13}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\phantom{249)}\underline{\phantom{9}1992\phantom{99}}\\\phantom{249)99}1867\\\phantom{249)}\underline{\phantom{99}1743\phantom{9}}\\\phantom{249)999}1245\\\end{array}$$

Find closest multiple of $249$ to $1245$. We see that $5 \times 249 = 1245$ is the nearest. Now subtract $1245$ from $1245$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{249)}0006875\phantom{14}\\249\overline{)1711875}\\\phantom{249)}\underline{\phantom{}1494\phantom{999}}\\\phantom{249)9}2178\\\phantom{249)}\underline{\phantom{9}1992\phantom{99}}\\\phantom{249)99}1867\\\phantom{249)}\underline{\phantom{99}1743\phantom{9}}\\\phantom{249)999}1245\\\phantom{249)}\underline{\phantom{999}1245\phantom{}}\\\phantom{249)9999999}0\\\end{array}$$

Since $0$ is less than $249$, stop the division. The reminder is $0$. The topmost line $0006875$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $6875$.

$$\text{Quotient: }6875$$ $$\text{Reminder: }0$$

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