How to solve . 6798/10

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 . 6798/10 | Equatix

Question

$$6798 \div 10$$

Evaluate

$\frac{3399}{5}=679.8$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6798$

$$\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)6798}\\\end{array}$$

Since $6$ is less than $10$, use the next digit $7$ from dividend $6798$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)6798}\\\end{array}$$

Use the $2^{nd}$ digit $7$ from dividend $6798$

$$\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)6798}\\\end{array}$$

Find closest multiple of $10$ to $67$. We see that $6 \times 10 = 60$ is the nearest. Now subtract $60$ from $67$ to get reminder $7$. Add $6$ to quotient.

$$\begin{array}{l}\phantom{10)}06\phantom{4}\\10\overline{)6798}\\\phantom{10)}\underline{\phantom{}60\phantom{99}}\\\phantom{10)9}7\\\end{array}$$

Use the $3^{rd}$ digit $9$ from dividend $6798$

$$\begin{array}{l}\phantom{10)}06\phantom{5}\\10\overline{)6798}\\\phantom{10)}\underline{\phantom{}60\phantom{99}}\\\phantom{10)9}79\\\end{array}$$

Find closest multiple of $10$ to $79$. We see that $7 \times 10 = 70$ is the nearest. Now subtract $70$ from $79$ to get reminder $9$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{10)}067\phantom{6}\\10\overline{)6798}\\\phantom{10)}\underline{\phantom{}60\phantom{99}}\\\phantom{10)9}79\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}9\\\end{array}$$

Use the $4^{th}$ digit $8$ from dividend $6798$

$$\begin{array}{l}\phantom{10)}067\phantom{7}\\10\overline{)6798}\\\phantom{10)}\underline{\phantom{}60\phantom{99}}\\\phantom{10)9}79\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}98\\\end{array}$$

Find closest multiple of $10$ to $98$. We see that $9 \times 10 = 90$ is the nearest. Now subtract $90$ from $98$ to get reminder $8$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{10)}0679\phantom{8}\\10\overline{)6798}\\\phantom{10)}\underline{\phantom{}60\phantom{99}}\\\phantom{10)9}79\\\phantom{10)}\underline{\phantom{9}70\phantom{9}}\\\phantom{10)99}98\\\phantom{10)}\underline{\phantom{99}90\phantom{}}\\\phantom{10)999}8\\\end{array}$$

Since $8$ is less than $10$, stop the division. The reminder is $8$. The topmost line $0679$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $679$.

$$\text{Quotient: }679$$ $$\text{Reminder: }8$$

Show Solution

Factor

$\frac{3 \cdot 11 \cdot 103}{5} = 679\frac{4}{5} = 679.8$

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Steps For Long Division Method

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