How to solve (73609)/(453)

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 (73609)/(453) | Equatix

Question

$$\frac{ 73609 }{ 453 }$$

Evaluate

$\frac{73609}{453}\approx 162.492273731$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $73609$

$$\begin{array}{l}\phantom{453)}\phantom{1}\\453\overline{)73609}\\\end{array}$$

Since $7$ is less than $453$, use the next digit $3$ from dividend $73609$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{453)}0\phantom{2}\\453\overline{)73609}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $73609$

$$\begin{array}{l}\phantom{453)}0\phantom{3}\\453\overline{)73609}\\\end{array}$$

Since $73$ is less than $453$, use the next digit $6$ from dividend $73609$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{453)}00\phantom{4}\\453\overline{)73609}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $73609$

$$\begin{array}{l}\phantom{453)}00\phantom{5}\\453\overline{)73609}\\\end{array}$$

Find closest multiple of $453$ to $736$. We see that $1 \times 453 = 453$ is the nearest. Now subtract $453$ from $736$ to get reminder $283$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{453)}001\phantom{6}\\453\overline{)73609}\\\phantom{453)}\underline{\phantom{}453\phantom{99}}\\\phantom{453)}283\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $73609$

$$\begin{array}{l}\phantom{453)}001\phantom{7}\\453\overline{)73609}\\\phantom{453)}\underline{\phantom{}453\phantom{99}}\\\phantom{453)}2830\\\end{array}$$

Find closest multiple of $453$ to $2830$. We see that $6 \times 453 = 2718$ is the nearest. Now subtract $2718$ from $2830$ to get reminder $112$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{453)}0016\phantom{8}\\453\overline{)73609}\\\phantom{453)}\underline{\phantom{}453\phantom{99}}\\\phantom{453)}2830\\\phantom{453)}\underline{\phantom{}2718\phantom{9}}\\\phantom{453)9}112\\\end{array}$$

Use the $5^{th}$ digit $9$ from dividend $73609$

$$\begin{array}{l}\phantom{453)}0016\phantom{9}\\453\overline{)73609}\\\phantom{453)}\underline{\phantom{}453\phantom{99}}\\\phantom{453)}2830\\\phantom{453)}\underline{\phantom{}2718\phantom{9}}\\\phantom{453)9}1129\\\end{array}$$

Find closest multiple of $453$ to $1129$. We see that $2 \times 453 = 906$ is the nearest. Now subtract $906$ from $1129$ to get reminder $223$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{453)}00162\phantom{10}\\453\overline{)73609}\\\phantom{453)}\underline{\phantom{}453\phantom{99}}\\\phantom{453)}2830\\\phantom{453)}\underline{\phantom{}2718\phantom{9}}\\\phantom{453)9}1129\\\phantom{453)}\underline{\phantom{99}906\phantom{}}\\\phantom{453)99}223\\\end{array}$$

Since $223$ is less than $453$, stop the division. The reminder is $223$. The topmost line $00162$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $162$.

$$\text{Quotient: }162$$ $$\text{Reminder: }223$$

Show Solution

Factor

$\frac{73609}{3 \cdot 151} = 162\frac{223}{453} = 162.49227373068433$

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Steps For Long Division Method

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