How to solve ( b) 72360/81

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) 72360/81 | Equatix

Question

$$72360 \div 81$$

Evaluate

$\frac{2680}{3}\approx 893.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $72360$

$$\begin{array}{l}\phantom{81)}\phantom{1}\\81\overline{)72360}\\\end{array}$$

Since $7$ is less than $81$, use the next digit $2$ from dividend $72360$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}0\phantom{2}\\81\overline{)72360}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $72360$

$$\begin{array}{l}\phantom{81)}0\phantom{3}\\81\overline{)72360}\\\end{array}$$

Since $72$ is less than $81$, use the next digit $3$ from dividend $72360$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{81)}00\phantom{4}\\81\overline{)72360}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $72360$

$$\begin{array}{l}\phantom{81)}00\phantom{5}\\81\overline{)72360}\\\end{array}$$

Find closest multiple of $81$ to $723$. We see that $8 \times 81 = 648$ is the nearest. Now subtract $648$ from $723$ to get reminder $75$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{81)}008\phantom{6}\\81\overline{)72360}\\\phantom{81)}\underline{\phantom{}648\phantom{99}}\\\phantom{81)9}75\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $72360$

$$\begin{array}{l}\phantom{81)}008\phantom{7}\\81\overline{)72360}\\\phantom{81)}\underline{\phantom{}648\phantom{99}}\\\phantom{81)9}756\\\end{array}$$

Find closest multiple of $81$ to $756$. We see that $9 \times 81 = 729$ is the nearest. Now subtract $729$ from $756$ to get reminder $27$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{81)}0089\phantom{8}\\81\overline{)72360}\\\phantom{81)}\underline{\phantom{}648\phantom{99}}\\\phantom{81)9}756\\\phantom{81)}\underline{\phantom{9}729\phantom{9}}\\\phantom{81)99}27\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $72360$

$$\begin{array}{l}\phantom{81)}0089\phantom{9}\\81\overline{)72360}\\\phantom{81)}\underline{\phantom{}648\phantom{99}}\\\phantom{81)9}756\\\phantom{81)}\underline{\phantom{9}729\phantom{9}}\\\phantom{81)99}270\\\end{array}$$

Find closest multiple of $81$ to $270$. We see that $3 \times 81 = 243$ is the nearest. Now subtract $243$ from $270$ to get reminder $27$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{81)}00893\phantom{10}\\81\overline{)72360}\\\phantom{81)}\underline{\phantom{}648\phantom{99}}\\\phantom{81)9}756\\\phantom{81)}\underline{\phantom{9}729\phantom{9}}\\\phantom{81)99}270\\\phantom{81)}\underline{\phantom{99}243\phantom{}}\\\phantom{81)999}27\\\end{array}$$

Since $27$ is less than $81$, stop the division. The reminder is $27$. The topmost line $00893$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $893$.

$$\text{Quotient: }893$$ $$\text{Reminder: }27$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 5 \cdot 67}{3} = 893\frac{1}{3} = 893.3333333333334$

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Steps For Long Division Method

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