Evaluate
\frac{29}{8}=3.625
Factor
\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625
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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)290}\\\end{array}
Use the 1^{st} digit 2 from dividend 290
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)290}\\\end{array}
Since 2 is less than 80, use the next digit 9 from dividend 290 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)290}\\\end{array}
Use the 2^{nd} digit 9 from dividend 290
\begin{array}{l}\phantom{80)}00\phantom{4}\\80\overline{)290}\\\end{array}
Since 29 is less than 80, use the next digit 0 from dividend 290 and add 0 to the quotient
\begin{array}{l}\phantom{80)}00\phantom{5}\\80\overline{)290}\\\end{array}
Use the 3^{rd} digit 0 from dividend 290
\begin{array}{l}\phantom{80)}003\phantom{6}\\80\overline{)290}\\\phantom{80)}\underline{\phantom{}240\phantom{}}\\\phantom{80)9}50\\\end{array}
Find closest multiple of 80 to 290. We see that 3 \times 80 = 240 is the nearest. Now subtract 240 from 290 to get reminder 50. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }50
Since 50 is less than 80, stop the division. The reminder is 50. 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}