Evaluate
\frac{910}{27}\approx 33.703703704
Factor
\frac{2 \cdot 5 \cdot 7 \cdot 13}{3 ^ {3}} = 33\frac{19}{27} = 33.7037037037037
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\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)910}\\\end{array}
Use the 1^{st} digit 9 from dividend 910
\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)910}\\\end{array}
Since 9 is less than 27, use the next digit 1 from dividend 910 and add 0 to the quotient
\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)910}\\\end{array}
Use the 2^{nd} digit 1 from dividend 910
\begin{array}{l}\phantom{27)}03\phantom{4}\\27\overline{)910}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}10\\\end{array}
Find closest multiple of 27 to 91. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 91 to get reminder 10. Add 3 to quotient.
\begin{array}{l}\phantom{27)}03\phantom{5}\\27\overline{)910}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}100\\\end{array}
Use the 3^{rd} digit 0 from dividend 910
\begin{array}{l}\phantom{27)}033\phantom{6}\\27\overline{)910}\\\phantom{27)}\underline{\phantom{}81\phantom{9}}\\\phantom{27)}100\\\phantom{27)}\underline{\phantom{9}81\phantom{}}\\\phantom{27)9}19\\\end{array}
Find closest multiple of 27 to 100. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 100 to get reminder 19. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }19
Since 19 is less than 27, stop the division. The reminder is 19. The topmost line 033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.
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}