How to solve b ) 4005730/775

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 b ) 4005730/775 | Equatix

Use the $1^{st}$ digit $4$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}\phantom{1}\\775\overline{)4005730}\\\end{array}$$

Since $4$ is less than $775$, use the next digit $0$ from dividend $4005730$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{775)}0\phantom{2}\\775\overline{)4005730}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}0\phantom{3}\\775\overline{)4005730}\\\end{array}$$

Since $40$ is less than $775$, use the next digit $0$ from dividend $4005730$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{775)}00\phantom{4}\\775\overline{)4005730}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}00\phantom{5}\\775\overline{)4005730}\\\end{array}$$

Since $400$ is less than $775$, use the next digit $5$ from dividend $4005730$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{775)}000\phantom{6}\\775\overline{)4005730}\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}000\phantom{7}\\775\overline{)4005730}\\\end{array}$$

Find closest multiple of $775$ to $4005$. We see that $5 \times 775 = 3875$ is the nearest. Now subtract $3875$ from $4005$ to get reminder $130$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{775)}0005\phantom{8}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}130\\\end{array}$$

Use the $5^{th}$ digit $7$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}0005\phantom{9}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\end{array}$$

Find closest multiple of $775$ to $1307$. We see that $1 \times 775 = 775$ is the nearest. Now subtract $775$ from $1307$ to get reminder $532$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{775)}00051\phantom{10}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\phantom{775)}\underline{\phantom{99}775\phantom{99}}\\\phantom{775)99}532\\\end{array}$$

Use the $6^{th}$ digit $3$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}00051\phantom{11}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\phantom{775)}\underline{\phantom{99}775\phantom{99}}\\\phantom{775)99}5323\\\end{array}$$

Find closest multiple of $775$ to $5323$. We see that $6 \times 775 = 4650$ is the nearest. Now subtract $4650$ from $5323$ to get reminder $673$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{775)}000516\phantom{12}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\phantom{775)}\underline{\phantom{99}775\phantom{99}}\\\phantom{775)99}5323\\\phantom{775)}\underline{\phantom{99}4650\phantom{9}}\\\phantom{775)999}673\\\end{array}$$

Use the $7^{th}$ digit $0$ from dividend $4005730$

$$\begin{array}{l}\phantom{775)}000516\phantom{13}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\phantom{775)}\underline{\phantom{99}775\phantom{99}}\\\phantom{775)99}5323\\\phantom{775)}\underline{\phantom{99}4650\phantom{9}}\\\phantom{775)999}6730\\\end{array}$$

Find closest multiple of $775$ to $6730$. We see that $8 \times 775 = 6200$ is the nearest. Now subtract $6200$ from $6730$ to get reminder $530$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{775)}0005168\phantom{14}\\775\overline{)4005730}\\\phantom{775)}\underline{\phantom{}3875\phantom{999}}\\\phantom{775)9}1307\\\phantom{775)}\underline{\phantom{99}775\phantom{99}}\\\phantom{775)99}5323\\\phantom{775)}\underline{\phantom{99}4650\phantom{9}}\\\phantom{775)999}6730\\\phantom{775)}\underline{\phantom{999}6200\phantom{}}\\\phantom{775)9999}530\\\end{array}$$

Since $530$ is less than $775$, stop the division. The reminder is $530$. The topmost line $0005168$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $5168$.

$$\text{Quotient: }5168$$ $$\text{Reminder: }530$$

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