Solve 10000\div120 | Equatix

Question

$$10000 \div 120$$

Evaluate

$\frac{250}{3}\approx 83.333333333$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $10000$

$$\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)10000}\\\end{array}$$

Since $1$ is less than $120$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)10000}\\\end{array}$$

Use the $2^{nd}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)10000}\\\end{array}$$

Since $10$ is less than $120$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)10000}\\\end{array}$$

Use the $3^{rd}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)10000}\\\end{array}$$

Since $100$ is less than $120$, use the next digit $0$ from dividend $10000$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{120)}000\phantom{6}\\120\overline{)10000}\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{120)}000\phantom{7}\\120\overline{)10000}\\\end{array}$$

Find closest multiple of $120$ to $1000$. We see that $8 \times 120 = 960$ is the nearest. Now subtract $960$ from $1000$ to get reminder $40$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{120)}0008\phantom{8}\\120\overline{)10000}\\\phantom{120)}\underline{\phantom{9}960\phantom{9}}\\\phantom{120)99}40\\\end{array}$$

Use the $5^{th}$ digit $0$ from dividend $10000$

$$\begin{array}{l}\phantom{120)}0008\phantom{9}\\120\overline{)10000}\\\phantom{120)}\underline{\phantom{9}960\phantom{9}}\\\phantom{120)99}400\\\end{array}$$

Find closest multiple of $120$ to $400$. We see that $3 \times 120 = 360$ is the nearest. Now subtract $360$ from $400$ to get reminder $40$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{120)}00083\phantom{10}\\120\overline{)10000}\\\phantom{120)}\underline{\phantom{9}960\phantom{9}}\\\phantom{120)99}400\\\phantom{120)}\underline{\phantom{99}360\phantom{}}\\\phantom{120)999}40\\\end{array}$$

Since $40$ is less than $120$, stop the division. The reminder is $40$. The topmost line $00083$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $83$.

$$\text{Quotient: }83$$ $$\text{Reminder: }40$$

Show Solution

Factor

$\frac{2 \cdot 5 ^ {3}}{3} = 83\frac{1}{3} = 83.33333333333333$

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps For Long Division Method

Factor