How to solve V. 45854/100

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 V. 45854/100 | Equatix

Question

$$45854 \div 100$$

Evaluate

$\frac{22927}{50}=458.54$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $45854$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)45854}\\\end{array}$$

Since $4$ is less than $100$, use the next digit $5$ from dividend $45854$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)45854}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $45854$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)45854}\\\end{array}$$

Since $45$ is less than $100$, use the next digit $8$ from dividend $45854$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)45854}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $45854$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)45854}\\\end{array}$$

Find closest multiple of $100$ to $458$. We see that $4 \times 100 = 400$ is the nearest. Now subtract $400$ from $458$ to get reminder $58$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)45854}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}58\\\end{array}$$

Use the $4^{th}$ digit $5$ from dividend $45854$

$$\begin{array}{l}\phantom{100)}004\phantom{7}\\100\overline{)45854}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}585\\\end{array}$$

Find closest multiple of $100$ to $585$. We see that $5 \times 100 = 500$ is the nearest. Now subtract $500$ from $585$ to get reminder $85$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{100)}0045\phantom{8}\\100\overline{)45854}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}585\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}85\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $45854$

$$\begin{array}{l}\phantom{100)}0045\phantom{9}\\100\overline{)45854}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}585\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}854\\\end{array}$$

Find closest multiple of $100$ to $854$. We see that $8 \times 100 = 800$ is the nearest. Now subtract $800$ from $854$ to get reminder $54$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{100)}00458\phantom{10}\\100\overline{)45854}\\\phantom{100)}\underline{\phantom{}400\phantom{99}}\\\phantom{100)9}585\\\phantom{100)}\underline{\phantom{9}500\phantom{9}}\\\phantom{100)99}854\\\phantom{100)}\underline{\phantom{99}800\phantom{}}\\\phantom{100)999}54\\\end{array}$$

Since $54$ is less than $100$, stop the division. The reminder is $54$. The topmost line $00458$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $458$.

$$\text{Quotient: }458$$ $$\text{Reminder: }54$$

Show Solution

Factor

$\frac{101 \cdot 227}{2 \cdot 5 ^ {2}} = 458\frac{27}{50} = 458.54$

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Steps For Long Division Method

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