Evaluate
\frac{35}{18}\approx 1.944444444
Factor
\frac{5 \cdot 7}{2 \cdot 3 ^ {2}} = 1\frac{17}{18} = 1.9444444444444444
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)70}\\\end{array}
Use the 1^{st} digit 7 from dividend 70
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)70}\\\end{array}
Since 7 is less than 36, use the next digit 0 from dividend 70 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)70}\\\end{array}
Use the 2^{nd} digit 0 from dividend 70
\begin{array}{l}\phantom{36)}01\phantom{4}\\36\overline{)70}\\\phantom{36)}\underline{\phantom{}36\phantom{}}\\\phantom{36)}34\\\end{array}
Find closest multiple of 36 to 70. We see that 1 \times 36 = 36 is the nearest. Now subtract 36 from 70 to get reminder 34. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }34
Since 34 is less than 36, stop the division. The reminder is 34. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}