Evaluate
\frac{74}{29}\approx 2.551724138
Factor
\frac{2 \cdot 37}{29} = 2\frac{16}{29} = 2.5517241379310347
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)74}\\\end{array}
Use the 1^{st} digit 7 from dividend 74
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)74}\\\end{array}
Since 7 is less than 29, use the next digit 4 from dividend 74 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)74}\\\end{array}
Use the 2^{nd} digit 4 from dividend 74
\begin{array}{l}\phantom{29)}02\phantom{4}\\29\overline{)74}\\\phantom{29)}\underline{\phantom{}58\phantom{}}\\\phantom{29)}16\\\end{array}
Find closest multiple of 29 to 74. We see that 2 \times 29 = 58 is the nearest. Now subtract 58 from 74 to get reminder 16. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }16
Since 16 is less than 29, stop the division. The reminder is 16. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}