How to solve (6872879)/(403)

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 (6872879)/(403) | Equatix

Use the $1^{st}$ digit $6$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}\phantom{1}\\403\overline{)6872879}\\\end{array}$$

Since $6$ is less than $403$, use the next digit $8$ from dividend $6872879$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{403)}0\phantom{2}\\403\overline{)6872879}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}0\phantom{3}\\403\overline{)6872879}\\\end{array}$$

Since $68$ is less than $403$, use the next digit $7$ from dividend $6872879$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{403)}00\phantom{4}\\403\overline{)6872879}\\\end{array}$$

Use the $3^{rd}$ digit $7$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}00\phantom{5}\\403\overline{)6872879}\\\end{array}$$

Find closest multiple of $403$ to $687$. We see that $1 \times 403 = 403$ is the nearest. Now subtract $403$ from $687$ to get reminder $284$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{403)}001\phantom{6}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}284\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}001\phantom{7}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\end{array}$$

Find closest multiple of $403$ to $2842$. We see that $7 \times 403 = 2821$ is the nearest. Now subtract $2821$ from $2842$ to get reminder $21$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{403)}0017\phantom{8}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}21\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}0017\phantom{9}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}218\\\end{array}$$

Since $218$ is less than $403$, use the next digit $7$ from dividend $6872879$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{403)}00170\phantom{10}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}218\\\end{array}$$

Use the $6^{th}$ digit $7$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}00170\phantom{11}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}2187\\\end{array}$$

Find closest multiple of $403$ to $2187$. We see that $5 \times 403 = 2015$ is the nearest. Now subtract $2015$ from $2187$ to get reminder $172$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{403)}001705\phantom{12}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}2187\\\phantom{403)}\underline{\phantom{99}2015\phantom{9}}\\\phantom{403)999}172\\\end{array}$$

Use the $7^{th}$ digit $9$ from dividend $6872879$

$$\begin{array}{l}\phantom{403)}001705\phantom{13}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}2187\\\phantom{403)}\underline{\phantom{99}2015\phantom{9}}\\\phantom{403)999}1729\\\end{array}$$

Find closest multiple of $403$ to $1729$. We see that $4 \times 403 = 1612$ is the nearest. Now subtract $1612$ from $1729$ to get reminder $117$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{403)}0017054\phantom{14}\\403\overline{)6872879}\\\phantom{403)}\underline{\phantom{}403\phantom{9999}}\\\phantom{403)}2842\\\phantom{403)}\underline{\phantom{}2821\phantom{999}}\\\phantom{403)99}2187\\\phantom{403)}\underline{\phantom{99}2015\phantom{9}}\\\phantom{403)999}1729\\\phantom{403)}\underline{\phantom{999}1612\phantom{}}\\\phantom{403)9999}117\\\end{array}$$

Since $117$ is less than $403$, stop the division. The reminder is $117$. The topmost line $0017054$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $17054$.

$$\text{Quotient: }17054$$ $$\text{Reminder: }117$$

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