Evaluate
\frac{300}{19}\approx 15.789473684
Factor
\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {2}}{19} = 15\frac{15}{19} = 15.789473684210526
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\begin{array}{l}\phantom{5700)}\phantom{1}\\5700\overline{)90000}\\\end{array}
Use the 1^{st} digit 9 from dividend 90000
\begin{array}{l}\phantom{5700)}0\phantom{2}\\5700\overline{)90000}\\\end{array}
Since 9 is less than 5700, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{5700)}0\phantom{3}\\5700\overline{)90000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 90000
\begin{array}{l}\phantom{5700)}00\phantom{4}\\5700\overline{)90000}\\\end{array}
Since 90 is less than 5700, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{5700)}00\phantom{5}\\5700\overline{)90000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 90000
\begin{array}{l}\phantom{5700)}000\phantom{6}\\5700\overline{)90000}\\\end{array}
Since 900 is less than 5700, use the next digit 0 from dividend 90000 and add 0 to the quotient
\begin{array}{l}\phantom{5700)}000\phantom{7}\\5700\overline{)90000}\\\end{array}
Use the 4^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{5700)}0001\phantom{8}\\5700\overline{)90000}\\\phantom{5700)}\underline{\phantom{}5700\phantom{9}}\\\phantom{5700)}3300\\\end{array}
Find closest multiple of 5700 to 9000. We see that 1 \times 5700 = 5700 is the nearest. Now subtract 5700 from 9000 to get reminder 3300. Add 1 to quotient.
\begin{array}{l}\phantom{5700)}0001\phantom{9}\\5700\overline{)90000}\\\phantom{5700)}\underline{\phantom{}5700\phantom{9}}\\\phantom{5700)}33000\\\end{array}
Use the 5^{th} digit 0 from dividend 90000
\begin{array}{l}\phantom{5700)}00015\phantom{10}\\5700\overline{)90000}\\\phantom{5700)}\underline{\phantom{}5700\phantom{9}}\\\phantom{5700)}33000\\\phantom{5700)}\underline{\phantom{}28500\phantom{}}\\\phantom{5700)9}4500\\\end{array}
Find closest multiple of 5700 to 33000. We see that 5 \times 5700 = 28500 is the nearest. Now subtract 28500 from 33000 to get reminder 4500. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }4500
Since 4500 is less than 5700, stop the division. The reminder is 4500. The topmost line 00015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}