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 6859/15 | Equatix

Question

$$6859\div15$$

Evaluate

$\frac{6859}{15}\approx 457.266666667$

Steps For Long Division Method

Use the $1^{st}$ digit $6$ from dividend $6859$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)6859}\\\end{array}$$

Since $6$ is less than $15$, use the next digit $8$ from dividend $6859$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)6859}\\\end{array}$$

Use the $2^{nd}$ digit $8$ from dividend $6859$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)6859}\\\end{array}$$

Find closest multiple of $15$ to $68$. We see that $4 \times 15 = 60$ is the nearest. Now subtract $60$ from $68$ to get reminder $8$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{15)}04\phantom{4}\\15\overline{)6859}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}8\\\end{array}$$

Use the $3^{rd}$ digit $5$ from dividend $6859$

$$\begin{array}{l}\phantom{15)}04\phantom{5}\\15\overline{)6859}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}85\\\end{array}$$

Find closest multiple of $15$ to $85$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $85$ to get reminder $10$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}045\phantom{6}\\15\overline{)6859}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}85\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}10\\\end{array}$$

Use the $4^{th}$ digit $9$ from dividend $6859$

$$\begin{array}{l}\phantom{15)}045\phantom{7}\\15\overline{)6859}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}85\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}109\\\end{array}$$

Find closest multiple of $15$ to $109$. We see that $7 \times 15 = 105$ is the nearest. Now subtract $105$ from $109$ to get reminder $4$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{15)}0457\phantom{8}\\15\overline{)6859}\\\phantom{15)}\underline{\phantom{}60\phantom{99}}\\\phantom{15)9}85\\\phantom{15)}\underline{\phantom{9}75\phantom{9}}\\\phantom{15)9}109\\\phantom{15)}\underline{\phantom{9}105\phantom{}}\\\phantom{15)999}4\\\end{array}$$

Since $4$ is less than $15$, stop the division. The reminder is $4$. The topmost line $0457$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $457$.

$$\text{Quotient: }457$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{19 ^ {3}}{3 \cdot 5} = 457\frac{4}{15} = 457.26666666666665$

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Steps For Long Division Method

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