How to solve 59472/786

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 59472/786 | Equatix

Question

$$59472\div786$$

Evaluate

$\frac{9912}{131}\approx 75.664122137$

Steps For Long Division Method

Use the $1^{st}$ digit $5$ from dividend $59472$

$$\begin{array}{l}\phantom{786)}\phantom{1}\\786\overline{)59472}\\\end{array}$$

Since $5$ is less than $786$, use the next digit $9$ from dividend $59472$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{786)}0\phantom{2}\\786\overline{)59472}\\\end{array}$$

Use the $2^{nd}$ digit $9$ from dividend $59472$

$$\begin{array}{l}\phantom{786)}0\phantom{3}\\786\overline{)59472}\\\end{array}$$

Since $59$ is less than $786$, use the next digit $4$ from dividend $59472$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{786)}00\phantom{4}\\786\overline{)59472}\\\end{array}$$

Use the $3^{rd}$ digit $4$ from dividend $59472$

$$\begin{array}{l}\phantom{786)}00\phantom{5}\\786\overline{)59472}\\\end{array}$$

Since $594$ is less than $786$, use the next digit $7$ from dividend $59472$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{786)}000\phantom{6}\\786\overline{)59472}\\\end{array}$$

Use the $4^{th}$ digit $7$ from dividend $59472$

$$\begin{array}{l}\phantom{786)}000\phantom{7}\\786\overline{)59472}\\\end{array}$$

Find closest multiple of $786$ to $5947$. We see that $7 \times 786 = 5502$ is the nearest. Now subtract $5502$ from $5947$ to get reminder $445$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{786)}0007\phantom{8}\\786\overline{)59472}\\\phantom{786)}\underline{\phantom{}5502\phantom{9}}\\\phantom{786)9}445\\\end{array}$$

Use the $5^{th}$ digit $2$ from dividend $59472$

$$\begin{array}{l}\phantom{786)}0007\phantom{9}\\786\overline{)59472}\\\phantom{786)}\underline{\phantom{}5502\phantom{9}}\\\phantom{786)9}4452\\\end{array}$$

Find closest multiple of $786$ to $4452$. We see that $5 \times 786 = 3930$ is the nearest. Now subtract $3930$ from $4452$ to get reminder $522$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{786)}00075\phantom{10}\\786\overline{)59472}\\\phantom{786)}\underline{\phantom{}5502\phantom{9}}\\\phantom{786)9}4452\\\phantom{786)}\underline{\phantom{9}3930\phantom{}}\\\phantom{786)99}522\\\end{array}$$

Since $522$ is less than $786$, stop the division. The reminder is $522$. The topmost line $00075$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $75$.

$$\text{Quotient: }75$$ $$\text{Reminder: }522$$

Show Solution

Factor

$\frac{2 ^ {3} \cdot 3 \cdot 7 \cdot 59}{131} = 75\frac{87}{131} = 75.66412213740458$

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Steps For Long Division Method

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