How to solve 856629/1000

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 856629/1000 | Equatix

Question

$$856629\div1000$$

Evaluate

$\frac{856629}{1000}=856.629$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)856629}\\\end{array}$$

Since $8$ is less than $1000$, use the next digit $5$ from dividend $856629$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)856629}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)856629}\\\end{array}$$

Since $85$ is less than $1000$, use the next digit $6$ from dividend $856629$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)856629}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)856629}\\\end{array}$$

Since $856$ is less than $1000$, use the next digit $6$ from dividend $856629$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)856629}\\\end{array}$$

Use the $4^{th}$ digit $6$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)856629}\\\end{array}$$

Find closest multiple of $1000$ to $8566$. We see that $8 \times 1000 = 8000$ is the nearest. Now subtract $8000$ from $8566$ to get reminder $566$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{1000)}0008\phantom{8}\\1000\overline{)856629}\\\phantom{1000)}\underline{\phantom{}8000\phantom{99}}\\\phantom{1000)9}566\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}0008\phantom{9}\\1000\overline{)856629}\\\phantom{1000)}\underline{\phantom{}8000\phantom{99}}\\\phantom{1000)9}5662\\\end{array}$$

Find closest multiple of $1000$ to $5662$. We see that $5 \times 1000 = 5000$ is the nearest. Now subtract $5000$ from $5662$ to get reminder $662$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{1000)}00085\phantom{10}\\1000\overline{)856629}\\\phantom{1000)}\underline{\phantom{}8000\phantom{99}}\\\phantom{1000)9}5662\\\phantom{1000)}\underline{\phantom{9}5000\phantom{9}}\\\phantom{1000)99}662\\\end{array}$$

Use the $6^{th}$ digit $9$ from dividend $856629$

$$\begin{array}{l}\phantom{1000)}00085\phantom{11}\\1000\overline{)856629}\\\phantom{1000)}\underline{\phantom{}8000\phantom{99}}\\\phantom{1000)9}5662\\\phantom{1000)}\underline{\phantom{9}5000\phantom{9}}\\\phantom{1000)99}6629\\\end{array}$$

Find closest multiple of $1000$ to $6629$. We see that $6 \times 1000 = 6000$ is the nearest. Now subtract $6000$ from $6629$ to get reminder $629$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{1000)}000856\phantom{12}\\1000\overline{)856629}\\\phantom{1000)}\underline{\phantom{}8000\phantom{99}}\\\phantom{1000)9}5662\\\phantom{1000)}\underline{\phantom{9}5000\phantom{9}}\\\phantom{1000)99}6629\\\phantom{1000)}\underline{\phantom{99}6000\phantom{}}\\\phantom{1000)999}629\\\end{array}$$

Since $629$ is less than $1000$, stop the division. The reminder is $629$. The topmost line $000856$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $856$.

$$\text{Quotient: }856$$ $$\text{Reminder: }629$$

Show Solution

Factor

$\frac{3 ^ {3} \cdot 31727}{2 ^ {3} \cdot 5 ^ {3}} = 856\frac{629}{1000} = 856.629$

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Steps For Long Division Method

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