Evaluate
\frac{19}{10}=1.9
Factor
\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9
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\begin{array}{l}\phantom{8000)}\phantom{1}\\8000\overline{)15200}\\\end{array}
Use the 1^{st} digit 1 from dividend 15200
\begin{array}{l}\phantom{8000)}0\phantom{2}\\8000\overline{)15200}\\\end{array}
Since 1 is less than 8000, use the next digit 5 from dividend 15200 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}0\phantom{3}\\8000\overline{)15200}\\\end{array}
Use the 2^{nd} digit 5 from dividend 15200
\begin{array}{l}\phantom{8000)}00\phantom{4}\\8000\overline{)15200}\\\end{array}
Since 15 is less than 8000, use the next digit 2 from dividend 15200 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}00\phantom{5}\\8000\overline{)15200}\\\end{array}
Use the 3^{rd} digit 2 from dividend 15200
\begin{array}{l}\phantom{8000)}000\phantom{6}\\8000\overline{)15200}\\\end{array}
Since 152 is less than 8000, use the next digit 0 from dividend 15200 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}000\phantom{7}\\8000\overline{)15200}\\\end{array}
Use the 4^{th} digit 0 from dividend 15200
\begin{array}{l}\phantom{8000)}0000\phantom{8}\\8000\overline{)15200}\\\end{array}
Since 1520 is less than 8000, use the next digit 0 from dividend 15200 and add 0 to the quotient
\begin{array}{l}\phantom{8000)}0000\phantom{9}\\8000\overline{)15200}\\\end{array}
Use the 5^{th} digit 0 from dividend 15200
\begin{array}{l}\phantom{8000)}00001\phantom{10}\\8000\overline{)15200}\\\phantom{8000)}\underline{\phantom{9}8000\phantom{}}\\\phantom{8000)9}7200\\\end{array}
Find closest multiple of 8000 to 15200. We see that 1 \times 8000 = 8000 is the nearest. Now subtract 8000 from 15200 to get reminder 7200. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }7200
Since 7200 is less than 8000, stop the division. The reminder is 7200. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}