Evaluate
\frac{203}{12}\approx 16.916666667
Factor
\frac{7 \cdot 29}{2 ^ {2} \cdot 3} = 16\frac{11}{12} = 16.916666666666668
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)1015}\\\end{array}
Use the 1^{st} digit 1 from dividend 1015
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)1015}\\\end{array}
Since 1 is less than 60, use the next digit 0 from dividend 1015 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)1015}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1015
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)1015}\\\end{array}
Since 10 is less than 60, use the next digit 1 from dividend 1015 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)1015}\\\end{array}
Use the 3^{rd} digit 1 from dividend 1015
\begin{array}{l}\phantom{60)}001\phantom{6}\\60\overline{)1015}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}41\\\end{array}
Find closest multiple of 60 to 101. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 101 to get reminder 41. Add 1 to quotient.
\begin{array}{l}\phantom{60)}001\phantom{7}\\60\overline{)1015}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}415\\\end{array}
Use the 4^{th} digit 5 from dividend 1015
\begin{array}{l}\phantom{60)}0016\phantom{8}\\60\overline{)1015}\\\phantom{60)}\underline{\phantom{9}60\phantom{9}}\\\phantom{60)9}415\\\phantom{60)}\underline{\phantom{9}360\phantom{}}\\\phantom{60)99}55\\\end{array}
Find closest multiple of 60 to 415. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 415 to get reminder 55. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }55
Since 55 is less than 60, stop the division. The reminder is 55. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}