Evaluate
\frac{67}{10}=6.7
Factor
\frac{67}{2 \cdot 5} = 6\frac{7}{10} = 6.7
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)335}\\\end{array}
Use the 1^{st} digit 3 from dividend 335
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)335}\\\end{array}
Since 3 is less than 50, use the next digit 3 from dividend 335 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)335}\\\end{array}
Use the 2^{nd} digit 3 from dividend 335
\begin{array}{l}\phantom{50)}00\phantom{4}\\50\overline{)335}\\\end{array}
Since 33 is less than 50, use the next digit 5 from dividend 335 and add 0 to the quotient
\begin{array}{l}\phantom{50)}00\phantom{5}\\50\overline{)335}\\\end{array}
Use the 3^{rd} digit 5 from dividend 335
\begin{array}{l}\phantom{50)}006\phantom{6}\\50\overline{)335}\\\phantom{50)}\underline{\phantom{}300\phantom{}}\\\phantom{50)9}35\\\end{array}
Find closest multiple of 50 to 335. We see that 6 \times 50 = 300 is the nearest. Now subtract 300 from 335 to get reminder 35. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }35
Since 35 is less than 50, stop the division. The reminder is 35. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}