Evaluate
\frac{280}{3}\approx 93.333333333
Factor
\frac{2 ^ {3} \cdot 5 \cdot 7}{3} = 93\frac{1}{3} = 93.33333333333333
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\begin{array}{l}\phantom{1500)}\phantom{1}\\1500\overline{)140000}\\\end{array}
Use the 1^{st} digit 1 from dividend 140000
\begin{array}{l}\phantom{1500)}0\phantom{2}\\1500\overline{)140000}\\\end{array}
Since 1 is less than 1500, use the next digit 4 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}0\phantom{3}\\1500\overline{)140000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 140000
\begin{array}{l}\phantom{1500)}00\phantom{4}\\1500\overline{)140000}\\\end{array}
Since 14 is less than 1500, use the next digit 0 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}00\phantom{5}\\1500\overline{)140000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 140000
\begin{array}{l}\phantom{1500)}000\phantom{6}\\1500\overline{)140000}\\\end{array}
Since 140 is less than 1500, use the next digit 0 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}000\phantom{7}\\1500\overline{)140000}\\\end{array}
Use the 4^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{1500)}0000\phantom{8}\\1500\overline{)140000}\\\end{array}
Since 1400 is less than 1500, use the next digit 0 from dividend 140000 and add 0 to the quotient
\begin{array}{l}\phantom{1500)}0000\phantom{9}\\1500\overline{)140000}\\\end{array}
Use the 5^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{1500)}00009\phantom{10}\\1500\overline{)140000}\\\phantom{1500)}\underline{\phantom{}13500\phantom{9}}\\\phantom{1500)99}500\\\end{array}
Find closest multiple of 1500 to 14000. We see that 9 \times 1500 = 13500 is the nearest. Now subtract 13500 from 14000 to get reminder 500. Add 9 to quotient.
\begin{array}{l}\phantom{1500)}00009\phantom{11}\\1500\overline{)140000}\\\phantom{1500)}\underline{\phantom{}13500\phantom{9}}\\\phantom{1500)99}5000\\\end{array}
Use the 6^{th} digit 0 from dividend 140000
\begin{array}{l}\phantom{1500)}000093\phantom{12}\\1500\overline{)140000}\\\phantom{1500)}\underline{\phantom{}13500\phantom{9}}\\\phantom{1500)99}5000\\\phantom{1500)}\underline{\phantom{99}4500\phantom{}}\\\phantom{1500)999}500\\\end{array}
Find closest multiple of 1500 to 5000. We see that 3 \times 1500 = 4500 is the nearest. Now subtract 4500 from 5000 to get reminder 500. Add 3 to quotient.
\text{Quotient: }93 \text{Reminder: }500
Since 500 is less than 1500, stop the division. The reminder is 500. The topmost line 000093 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 93.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}