How to solve ( ) 20878/286

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 ( ) 20878/286 | Equatix

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Question

$$20878 \div 286$$

Evaluate

$73$

Steps For Long Division Method

Use the $1^{st}$ digit $2$ from dividend $20878$

$$\begin{array}{l}\phantom{286)}\phantom{1}\\286\overline{)20878}\\\end{array}$$

Since $2$ is less than $286$, use the next digit $0$ from dividend $20878$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{286)}0\phantom{2}\\286\overline{)20878}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $20878$

$$\begin{array}{l}\phantom{286)}0\phantom{3}\\286\overline{)20878}\\\end{array}$$

Since $20$ is less than $286$, use the next digit $8$ from dividend $20878$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{286)}00\phantom{4}\\286\overline{)20878}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $20878$

$$\begin{array}{l}\phantom{286)}00\phantom{5}\\286\overline{)20878}\\\end{array}$$

Since $208$ is less than $286$, use the next digit $7$ from dividend $20878$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{286)}000\phantom{6}\\286\overline{)20878}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $20878$

$$\begin{array}{l}\phantom{286)}000\phantom{7}\\286\overline{)20878}\\\end{array}$$

Find closest multiple of $286$ to $2087$. We see that $7 \times 286 = 2002$ is the nearest. Now subtract $2002$ from $2087$ to get reminder $85$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{286)}0007\phantom{8}\\286\overline{)20878}\\\phantom{286)}\underline{\phantom{}2002\phantom{9}}\\\phantom{286)99}85\\\end{array}$$

Use the $5^{th}$ digit $8$ from dividend $20878$

$$\begin{array}{l}\phantom{286)}0007\phantom{9}\\286\overline{)20878}\\\phantom{286)}\underline{\phantom{}2002\phantom{9}}\\\phantom{286)99}858\\\end{array}$$

Find closest multiple of $286$ to $858$. We see that $3 \times 286 = 858$ is the nearest. Now subtract $858$ from $858$ to get reminder $0$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{286)}00073\phantom{10}\\286\overline{)20878}\\\phantom{286)}\underline{\phantom{}2002\phantom{9}}\\\phantom{286)99}858\\\phantom{286)}\underline{\phantom{99}858\phantom{}}\\\phantom{286)99999}0\\\end{array}$$

Since $0$ is less than $286$, stop the division. The reminder is $0$. The topmost line $00073$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $73$.

$$\text{Quotient: }73$$ $$\text{Reminder: }0$$

Show Solution

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