How to solve 65202/566

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 65202/566 | Equatix

Question

$$65202/566$$

Evaluate

$\frac{32601}{283}\approx 115.197879859$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $65202$

$$\begin{array}{l}\phantom{566)}\phantom{1}\\566\overline{)65202}\\\end{array}$$

Since $6$ is less than $566$, use the next digit $5$ from dividend $65202$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{566)}0\phantom{2}\\566\overline{)65202}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $65202$

$$\begin{array}{l}\phantom{566)}0\phantom{3}\\566\overline{)65202}\\\end{array}$$

Since $65$ is less than $566$, use the next digit $2$ from dividend $65202$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{566)}00\phantom{4}\\566\overline{)65202}\\\end{array}$$

Use the $3^{rd}$ digit $2$ from dividend $65202$

$$\begin{array}{l}\phantom{566)}00\phantom{5}\\566\overline{)65202}\\\end{array}$$

Find closest multiple of $566$ to $652$. We see that $1 \times 566 = 566$ is the nearest. Now subtract $566$ from $652$ to get reminder $86$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{566)}001\phantom{6}\\566\overline{)65202}\\\phantom{566)}\underline{\phantom{}566\phantom{99}}\\\phantom{566)9}86\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $65202$

$$\begin{array}{l}\phantom{566)}001\phantom{7}\\566\overline{)65202}\\\phantom{566)}\underline{\phantom{}566\phantom{99}}\\\phantom{566)9}860\\\end{array}$$

Find closest multiple of $566$ to $860$. We see that $1 \times 566 = 566$ is the nearest. Now subtract $566$ from $860$ to get reminder $294$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{566)}0011\phantom{8}\\566\overline{)65202}\\\phantom{566)}\underline{\phantom{}566\phantom{99}}\\\phantom{566)9}860\\\phantom{566)}\underline{\phantom{9}566\phantom{9}}\\\phantom{566)9}294\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $65202$

$$\begin{array}{l}\phantom{566)}0011\phantom{9}\\566\overline{)65202}\\\phantom{566)}\underline{\phantom{}566\phantom{99}}\\\phantom{566)9}860\\\phantom{566)}\underline{\phantom{9}566\phantom{9}}\\\phantom{566)9}2942\\\end{array}$$

Find closest multiple of $566$ to $2942$. We see that $5 \times 566 = 2830$ is the nearest. Now subtract $2830$ from $2942$ to get reminder $112$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{566)}00115\phantom{10}\\566\overline{)65202}\\\phantom{566)}\underline{\phantom{}566\phantom{99}}\\\phantom{566)9}860\\\phantom{566)}\underline{\phantom{9}566\phantom{9}}\\\phantom{566)9}2942\\\phantom{566)}\underline{\phantom{9}2830\phantom{}}\\\phantom{566)99}112\\\end{array}$$

Since $112$ is less than $566$, stop the division. The reminder is $112$. The topmost line $00115$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $115$.

$$\text{Quotient: }115$$ $$\text{Reminder: }112$$

Show Solution

Factor

$\frac{3 \cdot 10867}{283} = 115\frac{56}{283} = 115.19787985865725$

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Steps For Long Division Method

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