How to solve 1693142/708

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 1693142/708 | Equatix

Use the $1^{st}$ digit $1$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}\phantom{1}\\708\overline{)1693142}\\\end{array}$$

Since $1$ is less than $708$, use the next digit $6$ from dividend $1693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}0\phantom{2}\\708\overline{)1693142}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}0\phantom{3}\\708\overline{)1693142}\\\end{array}$$

Since $16$ is less than $708$, use the next digit $9$ from dividend $1693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}00\phantom{4}\\708\overline{)1693142}\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}00\phantom{5}\\708\overline{)1693142}\\\end{array}$$

Since $169$ is less than $708$, use the next digit $3$ from dividend $1693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}000\phantom{6}\\708\overline{)1693142}\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}000\phantom{7}\\708\overline{)1693142}\\\end{array}$$

Find closest multiple of $708$ to $1693$. We see that $2 \times 708 = 1416$ is the nearest. Now subtract $1416$ from $1693$ to get reminder $277$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{708)}0002\phantom{8}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}277\\\end{array}$$

Use the $5^{th}$ digit $1$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}0002\phantom{9}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\end{array}$$

Find closest multiple of $708$ to $2771$. We see that $3 \times 708 = 2124$ is the nearest. Now subtract $2124$ from $2771$ to get reminder $647$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{708)}00023\phantom{10}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\phantom{708)}\underline{\phantom{9}2124\phantom{99}}\\\phantom{708)99}647\\\end{array}$$

Use the $6^{th}$ digit $4$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}00023\phantom{11}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\phantom{708)}\underline{\phantom{9}2124\phantom{99}}\\\phantom{708)99}6474\\\end{array}$$

Find closest multiple of $708$ to $6474$. We see that $9 \times 708 = 6372$ is the nearest. Now subtract $6372$ from $6474$ to get reminder $102$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{708)}000239\phantom{12}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\phantom{708)}\underline{\phantom{9}2124\phantom{99}}\\\phantom{708)99}6474\\\phantom{708)}\underline{\phantom{99}6372\phantom{9}}\\\phantom{708)999}102\\\end{array}$$

Use the $7^{th}$ digit $2$ from dividend $1693142$

$$\begin{array}{l}\phantom{708)}000239\phantom{13}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\phantom{708)}\underline{\phantom{9}2124\phantom{99}}\\\phantom{708)99}6474\\\phantom{708)}\underline{\phantom{99}6372\phantom{9}}\\\phantom{708)999}1022\\\end{array}$$

Find closest multiple of $708$ to $1022$. We see that $1 \times 708 = 708$ is the nearest. Now subtract $708$ from $1022$ to get reminder $314$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{708)}0002391\phantom{14}\\708\overline{)1693142}\\\phantom{708)}\underline{\phantom{}1416\phantom{999}}\\\phantom{708)9}2771\\\phantom{708)}\underline{\phantom{9}2124\phantom{99}}\\\phantom{708)99}6474\\\phantom{708)}\underline{\phantom{99}6372\phantom{9}}\\\phantom{708)999}1022\\\phantom{708)}\underline{\phantom{9999}708\phantom{}}\\\phantom{708)9999}314\\\end{array}$$

Since $314$ is less than $708$, stop the division. The reminder is $314$. The topmost line $0002391$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $2391$.

$$\text{Quotient: }2391$$ $$\text{Reminder: }314$$

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