How to solve (7864329)/(4967)

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 (7864329)/(4967) | Equatix

Question

$$\frac{ 7864329 }{ 4967 }$$

Evaluate

$\frac{7864329}{4967}\approx 1583.315683511$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}\phantom{1}\\4967\overline{)7864329}\\\end{array}$$

Since $7$ is less than $4967$, use the next digit $8$ from dividend $7864329$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4967)}0\phantom{2}\\4967\overline{)7864329}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}0\phantom{3}\\4967\overline{)7864329}\\\end{array}$$

Since $78$ is less than $4967$, use the next digit $6$ from dividend $7864329$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4967)}00\phantom{4}\\4967\overline{)7864329}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}00\phantom{5}\\4967\overline{)7864329}\\\end{array}$$

Since $786$ is less than $4967$, use the next digit $4$ from dividend $7864329$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{4967)}000\phantom{6}\\4967\overline{)7864329}\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}000\phantom{7}\\4967\overline{)7864329}\\\end{array}$$

Find closest multiple of $4967$ to $7864$. We see that $1 \times 4967 = 4967$ is the nearest. Now subtract $4967$ from $7864$ to get reminder $2897$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{4967)}0001\phantom{8}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}2897\\\end{array}$$

Use the $5^{th}$ digit $3$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}0001\phantom{9}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\end{array}$$

Find closest multiple of $4967$ to $28973$. We see that $5 \times 4967 = 24835$ is the nearest. Now subtract $24835$ from $28973$ to get reminder $4138$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{4967)}00015\phantom{10}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\phantom{4967)}\underline{\phantom{}24835\phantom{99}}\\\phantom{4967)9}4138\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}00015\phantom{11}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\phantom{4967)}\underline{\phantom{}24835\phantom{99}}\\\phantom{4967)9}41382\\\end{array}$$

Find closest multiple of $4967$ to $41382$. We see that $8 \times 4967 = 39736$ is the nearest. Now subtract $39736$ from $41382$ to get reminder $1646$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{4967)}000158\phantom{12}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\phantom{4967)}\underline{\phantom{}24835\phantom{99}}\\\phantom{4967)9}41382\\\phantom{4967)}\underline{\phantom{9}39736\phantom{9}}\\\phantom{4967)99}1646\\\end{array}$$

Use the $7^{th}$ digit $9$ from dividend $7864329$

$$\begin{array}{l}\phantom{4967)}000158\phantom{13}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\phantom{4967)}\underline{\phantom{}24835\phantom{99}}\\\phantom{4967)9}41382\\\phantom{4967)}\underline{\phantom{9}39736\phantom{9}}\\\phantom{4967)99}16469\\\end{array}$$

Find closest multiple of $4967$ to $16469$. We see that $3 \times 4967 = 14901$ is the nearest. Now subtract $14901$ from $16469$ to get reminder $1568$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{4967)}0001583\phantom{14}\\4967\overline{)7864329}\\\phantom{4967)}\underline{\phantom{}4967\phantom{999}}\\\phantom{4967)}28973\\\phantom{4967)}\underline{\phantom{}24835\phantom{99}}\\\phantom{4967)9}41382\\\phantom{4967)}\underline{\phantom{9}39736\phantom{9}}\\\phantom{4967)99}16469\\\phantom{4967)}\underline{\phantom{99}14901\phantom{}}\\\phantom{4967)999}1568\\\end{array}$$

Since $1568$ is less than $4967$, stop the division. The reminder is $1568$. The topmost line $0001583$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1583$.

$$\text{Quotient: }1583$$ $$\text{Reminder: }1568$$

Show Solution

Factor

$\frac{3 \cdot 11 \cdot 238313}{4967} = 1583\frac{1568}{4967} = 1583.3156835111738$

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Steps For Long Division Method

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