How to solve d) 209160/830

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 d) 209160/830 | Equatix

Use the $1^{st}$ digit $2$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}\phantom{1}\\830\overline{)209160}\\\end{array}$$

Since $2$ is less than $830$, use the next digit $0$ from dividend $209160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{830)}0\phantom{2}\\830\overline{)209160}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}0\phantom{3}\\830\overline{)209160}\\\end{array}$$

Since $20$ is less than $830$, use the next digit $9$ from dividend $209160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{830)}00\phantom{4}\\830\overline{)209160}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}00\phantom{5}\\830\overline{)209160}\\\end{array}$$

Since $209$ is less than $830$, use the next digit $1$ from dividend $209160$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{830)}000\phantom{6}\\830\overline{)209160}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}000\phantom{7}\\830\overline{)209160}\\\end{array}$$

Find closest multiple of $830$ to $2091$. We see that $2 \times 830 = 1660$ is the nearest. Now subtract $1660$ from $2091$ to get reminder $431$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{830)}0002\phantom{8}\\830\overline{)209160}\\\phantom{830)}\underline{\phantom{}1660\phantom{99}}\\\phantom{830)9}431\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}0002\phantom{9}\\830\overline{)209160}\\\phantom{830)}\underline{\phantom{}1660\phantom{99}}\\\phantom{830)9}4316\\\end{array}$$

Find closest multiple of $830$ to $4316$. We see that $5 \times 830 = 4150$ is the nearest. Now subtract $4150$ from $4316$ to get reminder $166$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{830)}00025\phantom{10}\\830\overline{)209160}\\\phantom{830)}\underline{\phantom{}1660\phantom{99}}\\\phantom{830)9}4316\\\phantom{830)}\underline{\phantom{9}4150\phantom{9}}\\\phantom{830)99}166\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $209160$

$$\begin{array}{l}\phantom{830)}00025\phantom{11}\\830\overline{)209160}\\\phantom{830)}\underline{\phantom{}1660\phantom{99}}\\\phantom{830)9}4316\\\phantom{830)}\underline{\phantom{9}4150\phantom{9}}\\\phantom{830)99}1660\\\end{array}$$

Find closest multiple of $830$ to $1660$. We see that $2 \times 830 = 1660$ is the nearest. Now subtract $1660$ from $1660$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{830)}000252\phantom{12}\\830\overline{)209160}\\\phantom{830)}\underline{\phantom{}1660\phantom{99}}\\\phantom{830)9}4316\\\phantom{830)}\underline{\phantom{9}4150\phantom{9}}\\\phantom{830)99}1660\\\phantom{830)}\underline{\phantom{99}1660\phantom{}}\\\phantom{830)999999}0\\\end{array}$$

Since $0$ is less than $830$, stop the division. The reminder is $0$. The topmost line $000252$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $252$.

$$\text{Quotient: }252$$ $$\text{Reminder: }0$$

Example

Question

Evaluate

Steps For Long Division Method

Factor

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor