How to solve 693142/708

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 693142/708 | Equatix

Question

$$693142\div708$$

Evaluate

$\frac{346571}{354}\approx 979.014124294$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}\phantom{1}\\708\overline{)693142}\\\end{array}$$

Since $6$ is less than $708$, use the next digit $9$ from dividend $693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}0\phantom{2}\\708\overline{)693142}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}0\phantom{3}\\708\overline{)693142}\\\end{array}$$

Since $69$ is less than $708$, use the next digit $3$ from dividend $693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}00\phantom{4}\\708\overline{)693142}\\\end{array}$$

Use the $3^{rd}$ digit $3$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}00\phantom{5}\\708\overline{)693142}\\\end{array}$$

Since $693$ is less than $708$, use the next digit $1$ from dividend $693142$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{708)}000\phantom{6}\\708\overline{)693142}\\\end{array}$$

Use the $4^{th}$ digit $1$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}000\phantom{7}\\708\overline{)693142}\\\end{array}$$

Find closest multiple of $708$ to $6931$. We see that $9 \times 708 = 6372$ is the nearest. Now subtract $6372$ from $6931$ to get reminder $559$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{708)}0009\phantom{8}\\708\overline{)693142}\\\phantom{708)}\underline{\phantom{}6372\phantom{99}}\\\phantom{708)9}559\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}0009\phantom{9}\\708\overline{)693142}\\\phantom{708)}\underline{\phantom{}6372\phantom{99}}\\\phantom{708)9}5594\\\end{array}$$

Find closest multiple of $708$ to $5594$. We see that $7 \times 708 = 4956$ is the nearest. Now subtract $4956$ from $5594$ to get reminder $638$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{708)}00097\phantom{10}\\708\overline{)693142}\\\phantom{708)}\underline{\phantom{}6372\phantom{99}}\\\phantom{708)9}5594\\\phantom{708)}\underline{\phantom{9}4956\phantom{9}}\\\phantom{708)99}638\\\end{array}$$

Use the $6^{th}$ digit $2$ from dividend $693142$

$$\begin{array}{l}\phantom{708)}00097\phantom{11}\\708\overline{)693142}\\\phantom{708)}\underline{\phantom{}6372\phantom{99}}\\\phantom{708)9}5594\\\phantom{708)}\underline{\phantom{9}4956\phantom{9}}\\\phantom{708)99}6382\\\end{array}$$

Find closest multiple of $708$ to $6382$. We see that $9 \times 708 = 6372$ is the nearest. Now subtract $6372$ from $6382$ to get reminder $10$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{708)}000979\phantom{12}\\708\overline{)693142}\\\phantom{708)}\underline{\phantom{}6372\phantom{99}}\\\phantom{708)9}5594\\\phantom{708)}\underline{\phantom{9}4956\phantom{9}}\\\phantom{708)99}6382\\\phantom{708)}\underline{\phantom{99}6372\phantom{}}\\\phantom{708)9999}10\\\end{array}$$

Since $10$ is less than $708$, stop the division. The reminder is $10$. The topmost line $000979$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $979$.

$$\text{Quotient: }979$$ $$\text{Reminder: }10$$

Show Solution

Factor

$\frac{113 \cdot 3067}{2 \cdot 3 \cdot 59} = 979\frac{5}{354} = 979.0141242937854$

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Steps For Long Division Method

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