How to solve 784768 768

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 784768 768 | Equatix

Question

$$784768 \div 768$$

Evaluate

$\frac{6131}{6}\approx 1021.833333333$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}\phantom{1}\\768\overline{)784768}\\\end{array}$$

Since $7$ is less than $768$, use the next digit $8$ from dividend $784768$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{768)}0\phantom{2}\\768\overline{)784768}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}0\phantom{3}\\768\overline{)784768}\\\end{array}$$

Since $78$ is less than $768$, use the next digit $4$ from dividend $784768$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{768)}00\phantom{4}\\768\overline{)784768}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}00\phantom{5}\\768\overline{)784768}\\\end{array}$$

Find closest multiple of $768$ to $784$. We see that $1 \times 768 = 768$ is the nearest. Now subtract $768$ from $784$ to get reminder $16$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{768)}001\phantom{6}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}16\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}001\phantom{7}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}167\\\end{array}$$

Since $167$ is less than $768$, use the next digit $6$ from dividend $784768$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{768)}0010\phantom{8}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}167\\\end{array}$$

Use the $5^{th}$ digit $6$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}0010\phantom{9}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}1676\\\end{array}$$

Find closest multiple of $768$ to $1676$. We see that $2 \times 768 = 1536$ is the nearest. Now subtract $1536$ from $1676$ to get reminder $140$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{768)}00102\phantom{10}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}1676\\\phantom{768)}\underline{\phantom{9}1536\phantom{9}}\\\phantom{768)99}140\\\end{array}$$

Use the $6^{th}$ digit $8$ from dividend $784768$

$$\begin{array}{l}\phantom{768)}00102\phantom{11}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}1676\\\phantom{768)}\underline{\phantom{9}1536\phantom{9}}\\\phantom{768)99}1408\\\end{array}$$

Find closest multiple of $768$ to $1408$. We see that $1 \times 768 = 768$ is the nearest. Now subtract $768$ from $1408$ to get reminder $640$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{768)}001021\phantom{12}\\768\overline{)784768}\\\phantom{768)}\underline{\phantom{}768\phantom{999}}\\\phantom{768)9}1676\\\phantom{768)}\underline{\phantom{9}1536\phantom{9}}\\\phantom{768)99}1408\\\phantom{768)}\underline{\phantom{999}768\phantom{}}\\\phantom{768)999}640\\\end{array}$$

Since $640$ is less than $768$, stop the division. The reminder is $640$. The topmost line $001021$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1021$.

$$\text{Quotient: }1021$$ $$\text{Reminder: }640$$

Show Solution

Factor

$\frac{6131}{2 \cdot 3} = 1021\frac{5}{6} = 1021.8333333333334$

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Steps For Long Division Method

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