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{58)}\phantom{1}\\58\overline{)148}\\\end{array}
Use the 1^{st} digit 1 from dividend 148
\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)148}\\\end{array}
Since 1 is less than 58, use the next digit 4 from dividend 148 and add 0 to the quotient
\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)148}\\\end{array}
Use the 2^{nd} digit 4 from dividend 148
\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)148}\\\end{array}
Since 14 is less than 58, use the next digit 8 from dividend 148 and add 0 to the quotient
\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)148}\\\end{array}
Use the 3^{rd} digit 8 from dividend 148
\begin{array}{l}\phantom{58)}002\phantom{6}\\58\overline{)148}\\\phantom{58)}\underline{\phantom{}116\phantom{}}\\\phantom{58)9}32\\\end{array}
Find closest multiple of 58 to 148. We see that 2 \times 58 = 116 is the nearest. Now subtract 116 from 148 to get reminder 32. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }32
Since 32 is less than 58, stop the division. The reminder is 32. The topmost line 002 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}