How to solve 57836/647

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 57836/647 | Equatix

Question

$$57836\div647$$

Evaluate

$\frac{57836}{647}\approx 89.391035549$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $57836$

$$\begin{array}{l}\phantom{647)}\phantom{1}\\647\overline{)57836}\\\end{array}$$

Since $5$ is less than $647$, use the next digit $7$ from dividend $57836$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{647)}0\phantom{2}\\647\overline{)57836}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $57836$

$$\begin{array}{l}\phantom{647)}0\phantom{3}\\647\overline{)57836}\\\end{array}$$

Since $57$ is less than $647$, use the next digit $8$ from dividend $57836$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{647)}00\phantom{4}\\647\overline{)57836}\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $57836$

$$\begin{array}{l}\phantom{647)}00\phantom{5}\\647\overline{)57836}\\\end{array}$$

Since $578$ is less than $647$, use the next digit $3$ from dividend $57836$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{647)}000\phantom{6}\\647\overline{)57836}\\\end{array}$$

Use the $4^{th}$ digit $3$ from dividend $57836$

$$\begin{array}{l}\phantom{647)}000\phantom{7}\\647\overline{)57836}\\\end{array}$$

Find closest multiple of $647$ to $5783$. We see that $8 \times 647 = 5176$ is the nearest. Now subtract $5176$ from $5783$ to get reminder $607$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{647)}0008\phantom{8}\\647\overline{)57836}\\\phantom{647)}\underline{\phantom{}5176\phantom{9}}\\\phantom{647)9}607\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $57836$

$$\begin{array}{l}\phantom{647)}0008\phantom{9}\\647\overline{)57836}\\\phantom{647)}\underline{\phantom{}5176\phantom{9}}\\\phantom{647)9}6076\\\end{array}$$

Find closest multiple of $647$ to $6076$. We see that $9 \times 647 = 5823$ is the nearest. Now subtract $5823$ from $6076$ to get reminder $253$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{647)}00089\phantom{10}\\647\overline{)57836}\\\phantom{647)}\underline{\phantom{}5176\phantom{9}}\\\phantom{647)9}6076\\\phantom{647)}\underline{\phantom{9}5823\phantom{}}\\\phantom{647)99}253\\\end{array}$$

Since $253$ is less than $647$, stop the division. The reminder is $253$. The topmost line $00089$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $89$.

$$\text{Quotient: }89$$ $$\text{Reminder: }253$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 19 \cdot 761}{647} = 89\frac{253}{647} = 89.39103554868625$

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Steps For Long Division Method

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