Evaluate
3
Factor
3
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\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)156}\\\end{array}
Use the 1^{st} digit 1 from dividend 156
\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)156}\\\end{array}
Since 1 is less than 52, use the next digit 5 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)156}\\\end{array}
Use the 2^{nd} digit 5 from dividend 156
\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)156}\\\end{array}
Since 15 is less than 52, use the next digit 6 from dividend 156 and add 0 to the quotient
\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)156}\\\end{array}
Use the 3^{rd} digit 6 from dividend 156
\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)156}\\\phantom{52)}\underline{\phantom{}156\phantom{}}\\\phantom{52)999}0\\\end{array}
Find closest multiple of 52 to 156. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 156 to get reminder 0. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }0
Since 0 is less than 52, stop the division. The reminder is 0. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.
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}