Evaluate
\frac{8}{7}\approx 1.142857143
Factor
\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428
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\begin{array}{l}\phantom{14000)}\phantom{1}\\14000\overline{)16000}\\\end{array}
Use the 1^{st} digit 1 from dividend 16000
\begin{array}{l}\phantom{14000)}0\phantom{2}\\14000\overline{)16000}\\\end{array}
Since 1 is less than 14000, use the next digit 6 from dividend 16000 and add 0 to the quotient
\begin{array}{l}\phantom{14000)}0\phantom{3}\\14000\overline{)16000}\\\end{array}
Use the 2^{nd} digit 6 from dividend 16000
\begin{array}{l}\phantom{14000)}00\phantom{4}\\14000\overline{)16000}\\\end{array}
Since 16 is less than 14000, use the next digit 0 from dividend 16000 and add 0 to the quotient
\begin{array}{l}\phantom{14000)}00\phantom{5}\\14000\overline{)16000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 16000
\begin{array}{l}\phantom{14000)}000\phantom{6}\\14000\overline{)16000}\\\end{array}
Since 160 is less than 14000, use the next digit 0 from dividend 16000 and add 0 to the quotient
\begin{array}{l}\phantom{14000)}000\phantom{7}\\14000\overline{)16000}\\\end{array}
Use the 4^{th} digit 0 from dividend 16000
\begin{array}{l}\phantom{14000)}0000\phantom{8}\\14000\overline{)16000}\\\end{array}
Since 1600 is less than 14000, use the next digit 0 from dividend 16000 and add 0 to the quotient
\begin{array}{l}\phantom{14000)}0000\phantom{9}\\14000\overline{)16000}\\\end{array}
Use the 5^{th} digit 0 from dividend 16000
\begin{array}{l}\phantom{14000)}00001\phantom{10}\\14000\overline{)16000}\\\phantom{14000)}\underline{\phantom{}14000\phantom{}}\\\phantom{14000)9}2000\\\end{array}
Find closest multiple of 14000 to 16000. We see that 1 \times 14000 = 14000 is the nearest. Now subtract 14000 from 16000 to get reminder 2000. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }2000
Since 2000 is less than 14000, stop the division. The reminder is 2000. 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}