Evaluate
\frac{13}{7}\approx 1.857142857
Factor
\frac{13}{7} = 1\frac{6}{7} = 1.8571428571428572
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\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)26}\\\end{array}
Use the 1^{st} digit 2 from dividend 26
\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)26}\\\end{array}
Since 2 is less than 14, use the next digit 6 from dividend 26 and add 0 to the quotient
\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)26}\\\end{array}
Use the 2^{nd} digit 6 from dividend 26
\begin{array}{l}\phantom{14)}01\phantom{4}\\14\overline{)26}\\\phantom{14)}\underline{\phantom{}14\phantom{}}\\\phantom{14)}12\\\end{array}
Find closest multiple of 14 to 26. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 26 to get reminder 12. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }12
Since 12 is less than 14, stop the division. The reminder is 12. The topmost line 01 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}