Evaluate
\frac{26}{5}=5.2
Factor
\frac{2 \cdot 13}{5} = 5\frac{1}{5} = 5.2
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)156}\\\end{array}
Use the 1^{st} digit 1 from dividend 156
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)156}\\\end{array}
Since 1 is less than 30, use the next digit 5 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)156}\\\end{array}
Use the 2^{nd} digit 5 from dividend 156
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)156}\\\end{array}
Since 15 is less than 30, use the next digit 6 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)156}\\\end{array}
Use the 3^{rd} digit 6 from dividend 156
\begin{array}{l}\phantom{30)}005\phantom{6}\\30\overline{)156}\\\phantom{30)}\underline{\phantom{}150\phantom{}}\\\phantom{30)99}6\\\end{array}
Find closest multiple of 30 to 156. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 156 to get reminder 6. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }6
Since 6 is less than 30, stop the division. The reminder is 6. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}