How to solve *40125/675 2

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 *40125/675 2 | Equatix

Question

$$40125 \div 675$$

Evaluate

$\frac{535}{9}\approx 59.444444444$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $40125$

$$\begin{array}{l}\phantom{675)}\phantom{1}\\675\overline{)40125}\\\end{array}$$

Since $4$ is less than $675$, use the next digit $0$ from dividend $40125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}0\phantom{2}\\675\overline{)40125}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $40125$

$$\begin{array}{l}\phantom{675)}0\phantom{3}\\675\overline{)40125}\\\end{array}$$

Since $40$ is less than $675$, use the next digit $1$ from dividend $40125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}00\phantom{4}\\675\overline{)40125}\\\end{array}$$

Use the $3^{rd}$ digit $1$ from dividend $40125$

$$\begin{array}{l}\phantom{675)}00\phantom{5}\\675\overline{)40125}\\\end{array}$$

Since $401$ is less than $675$, use the next digit $2$ from dividend $40125$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{675)}000\phantom{6}\\675\overline{)40125}\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $40125$

$$\begin{array}{l}\phantom{675)}000\phantom{7}\\675\overline{)40125}\\\end{array}$$

Find closest multiple of $675$ to $4012$. We see that $5 \times 675 = 3375$ is the nearest. Now subtract $3375$ from $4012$ to get reminder $637$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{675)}0005\phantom{8}\\675\overline{)40125}\\\phantom{675)}\underline{\phantom{}3375\phantom{9}}\\\phantom{675)9}637\\\end{array}$$

Use the $5^{th}$ digit $5$ from dividend $40125$

$$\begin{array}{l}\phantom{675)}0005\phantom{9}\\675\overline{)40125}\\\phantom{675)}\underline{\phantom{}3375\phantom{9}}\\\phantom{675)9}6375\\\end{array}$$

Find closest multiple of $675$ to $6375$. We see that $9 \times 675 = 6075$ is the nearest. Now subtract $6075$ from $6375$ to get reminder $300$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{675)}00059\phantom{10}\\675\overline{)40125}\\\phantom{675)}\underline{\phantom{}3375\phantom{9}}\\\phantom{675)9}6375\\\phantom{675)}\underline{\phantom{9}6075\phantom{}}\\\phantom{675)99}300\\\end{array}$$

Since $300$ is less than $675$, stop the division. The reminder is $300$. The topmost line $00059$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $59$.

$$\text{Quotient: }59$$ $$\text{Reminder: }300$$

Show Solution

Factor

$\frac{5 \cdot 107}{3 ^ {2}} = 59\frac{4}{9} = 59.44444444444444$

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Steps For Long Division Method

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