How to solve (7984)/(15)

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 (7984)/(15) | Equatix

Question

$$\frac{ 7984 }{ 15 }$$

Evaluate

$\frac{7984}{15}\approx 532.266666667$

Steps For Long Division Method

Use the $1^{st}$ digit $7$ from dividend $7984$

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)7984}\\\end{array}$$

Since $7$ is less than $15$, use the next digit $9$ from dividend $7984$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)7984}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $7984$

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)7984}\\\end{array}$$

Find closest multiple of $15$ to $79$. We see that $5 \times 15 = 75$ is the nearest. Now subtract $75$ from $79$ to get reminder $4$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)7984}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}4\\\end{array}$$

Use the $3^{rd}$ digit $8$ from dividend $7984$

$$\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)7984}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}48\\\end{array}$$

Find closest multiple of $15$ to $48$. We see that $3 \times 15 = 45$ is the nearest. Now subtract $45$ from $48$ to get reminder $3$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{15)}053\phantom{6}\\15\overline{)7984}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}48\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}3\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $7984$

$$\begin{array}{l}\phantom{15)}053\phantom{7}\\15\overline{)7984}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}48\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}34\\\end{array}$$

Find closest multiple of $15$ to $34$. We see that $2 \times 15 = 30$ is the nearest. Now subtract $30$ from $34$ to get reminder $4$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{15)}0532\phantom{8}\\15\overline{)7984}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)9}48\\\phantom{15)}\underline{\phantom{9}45\phantom{9}}\\\phantom{15)99}34\\\phantom{15)}\underline{\phantom{99}30\phantom{}}\\\phantom{15)999}4\\\end{array}$$

Since $4$ is less than $15$, stop the division. The reminder is $4$. The topmost line $0532$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $532$.

$$\text{Quotient: }532$$ $$\text{Reminder: }4$$

Show Solution

Factor

$\frac{2 ^ {4} \cdot 499}{3 \cdot 5} = 532\frac{4}{15} = 532.2666666666667$

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Steps For Long Division Method

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