How to solve 673900/86

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 673900/86 | Equatix

Question

$$673900\div86$$

Evaluate

$\frac{336950}{43}\approx 7836.046511628$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}\phantom{1}\\86\overline{)673900}\\\end{array}$$

Since $6$ is less than $86$, use the next digit $7$ from dividend $673900$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{86)}0\phantom{2}\\86\overline{)673900}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}0\phantom{3}\\86\overline{)673900}\\\end{array}$$

Since $67$ is less than $86$, use the next digit $3$ from dividend $673900$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{86)}00\phantom{4}\\86\overline{)673900}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}00\phantom{5}\\86\overline{)673900}\\\end{array}$$

Find closest multiple of $86$ to $673$. We see that $7 \times 86 = 602$ is the nearest. Now subtract $602$ from $673$ to get reminder $71$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{86)}007\phantom{6}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}71\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}007\phantom{7}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\end{array}$$

Find closest multiple of $86$ to $719$. We see that $8 \times 86 = 688$ is the nearest. Now subtract $688$ from $719$ to get reminder $31$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{86)}0078\phantom{8}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\phantom{86)}\underline{\phantom{9}688\phantom{99}}\\\phantom{86)99}31\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}0078\phantom{9}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\phantom{86)}\underline{\phantom{9}688\phantom{99}}\\\phantom{86)99}310\\\end{array}$$

Find closest multiple of $86$ to $310$. We see that $3 \times 86 = 258$ is the nearest. Now subtract $258$ from $310$ to get reminder $52$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{86)}00783\phantom{10}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\phantom{86)}\underline{\phantom{9}688\phantom{99}}\\\phantom{86)99}310\\\phantom{86)}\underline{\phantom{99}258\phantom{9}}\\\phantom{86)999}52\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $673900$

$$\begin{array}{l}\phantom{86)}00783\phantom{11}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\phantom{86)}\underline{\phantom{9}688\phantom{99}}\\\phantom{86)99}310\\\phantom{86)}\underline{\phantom{99}258\phantom{9}}\\\phantom{86)999}520\\\end{array}$$

Find closest multiple of $86$ to $520$. We see that $6 \times 86 = 516$ is the nearest. Now subtract $516$ from $520$ to get reminder $4$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{86)}007836\phantom{12}\\86\overline{)673900}\\\phantom{86)}\underline{\phantom{}602\phantom{999}}\\\phantom{86)9}719\\\phantom{86)}\underline{\phantom{9}688\phantom{99}}\\\phantom{86)99}310\\\phantom{86)}\underline{\phantom{99}258\phantom{9}}\\\phantom{86)999}520\\\phantom{86)}\underline{\phantom{999}516\phantom{}}\\\phantom{86)99999}4\\\end{array}$$

Since $4$ is less than $86$, stop the division. The reminder is $4$. The topmost line $007836$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $7836$.

$$\text{Quotient: }7836$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 \cdot 5 ^ {2} \cdot 23 \cdot 293}{43} = 7836\frac{2}{43} = 7836.046511627907$

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Steps For Long Division Method

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