Evaluate
\frac{87}{34}\approx 2.558823529
Factor
\frac{3 \cdot 29}{2 \cdot 17} = 2\frac{19}{34} = 2.5588235294117645
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\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)87}\\\end{array}
Use the 1^{st} digit 8 from dividend 87
\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)87}\\\end{array}
Since 8 is less than 34, use the next digit 7 from dividend 87 and add 0 to the quotient
\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)87}\\\end{array}
Use the 2^{nd} digit 7 from dividend 87
\begin{array}{l}\phantom{34)}02\phantom{4}\\34\overline{)87}\\\phantom{34)}\underline{\phantom{}68\phantom{}}\\\phantom{34)}19\\\end{array}
Find closest multiple of 34 to 87. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 87 to get reminder 19. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }19
Since 19 is less than 34, stop the division. The reminder is 19. 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}