How to solve 57846/100

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 57846/100 | Equatix

Question

$$57846\div100$$

Evaluate

$\frac{28923}{50}=578.46$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $57846$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)57846}\\\end{array}$$

Since $5$ is less than $100$, use the next digit $7$ from dividend $57846$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)57846}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $57846$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)57846}\\\end{array}$$

Since $57$ is less than $100$, use the next digit $8$ from dividend $57846$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)57846}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $57846$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)57846}\\\end{array}$$

Find closest multiple of $100$ to $578$. We see that $5 \times 100 = 500$ is the nearest. Now subtract $500$ from $578$ to get reminder $78$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)57846}\\\phantom{100)}\underline{\phantom{}500\phantom{99}}\\\phantom{100)9}78\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $57846$

$$\begin{array}{l}\phantom{100)}005\phantom{7}\\100\overline{)57846}\\\phantom{100)}\underline{\phantom{}500\phantom{99}}\\\phantom{100)9}784\\\end{array}$$

Find closest multiple of $100$ to $784$. We see that $7 \times 100 = 700$ is the nearest. Now subtract $700$ from $784$ to get reminder $84$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{100)}0057\phantom{8}\\100\overline{)57846}\\\phantom{100)}\underline{\phantom{}500\phantom{99}}\\\phantom{100)9}784\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}84\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $57846$

$$\begin{array}{l}\phantom{100)}0057\phantom{9}\\100\overline{)57846}\\\phantom{100)}\underline{\phantom{}500\phantom{99}}\\\phantom{100)9}784\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}846\\\end{array}$$

Find closest multiple of $100$ to $846$. We see that $8 \times 100 = 800$ is the nearest. Now subtract $800$ from $846$ to get reminder $46$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{100)}00578\phantom{10}\\100\overline{)57846}\\\phantom{100)}\underline{\phantom{}500\phantom{99}}\\\phantom{100)9}784\\\phantom{100)}\underline{\phantom{9}700\phantom{9}}\\\phantom{100)99}846\\\phantom{100)}\underline{\phantom{99}800\phantom{}}\\\phantom{100)999}46\\\end{array}$$

Since $46$ is less than $100$, stop the division. The reminder is $46$. The topmost line $00578$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $578$.

$$\text{Quotient: }578$$ $$\text{Reminder: }46$$

Show Solution

Factor

$\frac{3 \cdot 31 \cdot 311}{2 \cdot 5 ^ {2}} = 578\frac{23}{50} = 578.46$

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Steps For Long Division Method

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