How to solve (100000)/(75)

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 (100000)/(75) | Equatix

Question

$$\frac{ 100000 }{ 75 }$$

Evaluate

$\frac{4000}{3}\approx 1333.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)100000}\\\end{array}$$

Since $1$ is less than $75$, use the next digit $0$ from dividend $100000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)100000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)100000}\\\end{array}$$

Since $10$ is less than $75$, use the next digit $0$ from dividend $100000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)100000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)100000}\\\end{array}$$

Find closest multiple of $75$ to $100$. We see that $1 \times 75 = 75$ is the nearest. Now subtract $75$ from $100$ to get reminder $25$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{75)}001\phantom{6}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}25\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}001\phantom{7}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\end{array}$$

Find closest multiple of $75$ to $250$. We see that $3 \times 75 = 225$ is the nearest. Now subtract $225$ from $250$ to get reminder $25$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{75)}0013\phantom{8}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{99}}\\\phantom{75)99}25\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}0013\phantom{9}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{99}}\\\phantom{75)99}250\\\end{array}$$

Find closest multiple of $75$ to $250$. We see that $3 \times 75 = 225$ is the nearest. Now subtract $225$ from $250$ to get reminder $25$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{75)}00133\phantom{10}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{99}}\\\phantom{75)99}250\\\phantom{75)}\underline{\phantom{99}225\phantom{9}}\\\phantom{75)999}25\\\end{array}$$

Use the $6^{th}$ digit $0$ from dividend $100000$

$$\begin{array}{l}\phantom{75)}00133\phantom{11}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{99}}\\\phantom{75)99}250\\\phantom{75)}\underline{\phantom{99}225\phantom{9}}\\\phantom{75)999}250\\\end{array}$$

Find closest multiple of $75$ to $250$. We see that $3 \times 75 = 225$ is the nearest. Now subtract $225$ from $250$ to get reminder $25$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{75)}001333\phantom{12}\\75\overline{)100000}\\\phantom{75)}\underline{\phantom{9}75\phantom{999}}\\\phantom{75)9}250\\\phantom{75)}\underline{\phantom{9}225\phantom{99}}\\\phantom{75)99}250\\\phantom{75)}\underline{\phantom{99}225\phantom{9}}\\\phantom{75)999}250\\\phantom{75)}\underline{\phantom{999}225\phantom{}}\\\phantom{75)9999}25\\\end{array}$$

Since $25$ is less than $75$, stop the division. The reminder is $25$. The topmost line $001333$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $1333$.

$$\text{Quotient: }1333$$ $$\text{Reminder: }25$$

Show Solution

Factor

$\frac{2 ^ {5} \cdot 5 ^ {3}}{3} = 1333\frac{1}{3} = 1333.3333333333333$

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Steps For Long Division Method

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