How to solve (466745)/(567)

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 (466745)/(567) | Equatix

Question

$$\frac{ 466745 }{ 567 }$$

Evaluate

$\frac{466745}{567}\approx 823.183421517$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}\phantom{1}\\567\overline{)466745}\\\end{array}$$

Since $4$ is less than $567$, use the next digit $6$ from dividend $466745$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{567)}0\phantom{2}\\567\overline{)466745}\\\end{array}$$

Use the $2^{nd}$ digit $6$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}0\phantom{3}\\567\overline{)466745}\\\end{array}$$

Since $46$ is less than $567$, use the next digit $6$ from dividend $466745$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{567)}00\phantom{4}\\567\overline{)466745}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}00\phantom{5}\\567\overline{)466745}\\\end{array}$$

Since $466$ is less than $567$, use the next digit $7$ from dividend $466745$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{567)}000\phantom{6}\\567\overline{)466745}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}000\phantom{7}\\567\overline{)466745}\\\end{array}$$

Find closest multiple of $567$ to $4667$. We see that $8 \times 567 = 4536$ is the nearest. Now subtract $4536$ from $4667$ to get reminder $131$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{567)}0008\phantom{8}\\567\overline{)466745}\\\phantom{567)}\underline{\phantom{}4536\phantom{99}}\\\phantom{567)9}131\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}0008\phantom{9}\\567\overline{)466745}\\\phantom{567)}\underline{\phantom{}4536\phantom{99}}\\\phantom{567)9}1314\\\end{array}$$

Find closest multiple of $567$ to $1314$. We see that $2 \times 567 = 1134$ is the nearest. Now subtract $1134$ from $1314$ to get reminder $180$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{567)}00082\phantom{10}\\567\overline{)466745}\\\phantom{567)}\underline{\phantom{}4536\phantom{99}}\\\phantom{567)9}1314\\\phantom{567)}\underline{\phantom{9}1134\phantom{9}}\\\phantom{567)99}180\\\end{array}$$

Use the $6^{th}$ digit $5$ from dividend $466745$

$$\begin{array}{l}\phantom{567)}00082\phantom{11}\\567\overline{)466745}\\\phantom{567)}\underline{\phantom{}4536\phantom{99}}\\\phantom{567)9}1314\\\phantom{567)}\underline{\phantom{9}1134\phantom{9}}\\\phantom{567)99}1805\\\end{array}$$

Find closest multiple of $567$ to $1805$. We see that $3 \times 567 = 1701$ is the nearest. Now subtract $1701$ from $1805$ to get reminder $104$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{567)}000823\phantom{12}\\567\overline{)466745}\\\phantom{567)}\underline{\phantom{}4536\phantom{99}}\\\phantom{567)9}1314\\\phantom{567)}\underline{\phantom{9}1134\phantom{9}}\\\phantom{567)99}1805\\\phantom{567)}\underline{\phantom{99}1701\phantom{}}\\\phantom{567)999}104\\\end{array}$$

Since $104$ is less than $567$, stop the division. The reminder is $104$. The topmost line $000823$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $823$.

$$\text{Quotient: }823$$ $$\text{Reminder: }104$$

Show Solution

Factor

$\frac{5 \cdot 277 \cdot 337}{3 ^ {4} \cdot 7} = 823\frac{104}{567} = 823.1834215167548$

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Steps For Long Division Method

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