How to solve 8 . 4831/54

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 8 . 4831/54 | Equatix

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Question

$$\quad 4831 \div 54$$

Evaluate

$\frac{4831}{54}\approx 89.462962963$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $4831$

$$\begin{array}{l}\phantom{54)}\phantom{1}\\54\overline{)4831}\\\end{array}$$

Since $4$ is less than $54$, use the next digit $8$ from dividend $4831$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{54)}0\phantom{2}\\54\overline{)4831}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $4831$

$$\begin{array}{l}\phantom{54)}0\phantom{3}\\54\overline{)4831}\\\end{array}$$

Since $48$ is less than $54$, use the next digit $3$ from dividend $4831$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{54)}00\phantom{4}\\54\overline{)4831}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $4831$

$$\begin{array}{l}\phantom{54)}00\phantom{5}\\54\overline{)4831}\\\end{array}$$

Find closest multiple of $54$ to $483$. We see that $8 \times 54 = 432$ is the nearest. Now subtract $432$ from $483$ to get reminder $51$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{54)}008\phantom{6}\\54\overline{)4831}\\\phantom{54)}\underline{\phantom{}432\phantom{9}}\\\phantom{54)9}51\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $4831$

$$\begin{array}{l}\phantom{54)}008\phantom{7}\\54\overline{)4831}\\\phantom{54)}\underline{\phantom{}432\phantom{9}}\\\phantom{54)9}511\\\end{array}$$

Find closest multiple of $54$ to $511$. We see that $9 \times 54 = 486$ is the nearest. Now subtract $486$ from $511$ to get reminder $25$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{54)}0089\phantom{8}\\54\overline{)4831}\\\phantom{54)}\underline{\phantom{}432\phantom{9}}\\\phantom{54)9}511\\\phantom{54)}\underline{\phantom{9}486\phantom{}}\\\phantom{54)99}25\\\end{array}$$

Since $25$ is less than $54$, stop the division. The reminder is $25$. The topmost line $0089$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $89$.

$$\text{Quotient: }89$$ $$\text{Reminder: }25$$

Show Solution

Factor

$\frac{4831}{2 \cdot 3 ^ {3}} = 89\frac{25}{54} = 89.46296296296296$