Evaluate
\frac{185}{12}\approx 15.416666667
Factor
\frac{5 \cdot 37}{2 ^ {2} \cdot 3} = 15\frac{5}{12} = 15.416666666666666
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\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)1850}\\\end{array}
Use the 1^{st} digit 1 from dividend 1850
\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)1850}\\\end{array}
Since 1 is less than 120, use the next digit 8 from dividend 1850 and add 0 to the quotient
\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)1850}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1850
\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)1850}\\\end{array}
Since 18 is less than 120, use the next digit 5 from dividend 1850 and add 0 to the quotient
\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)1850}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1850
\begin{array}{l}\phantom{120)}001\phantom{6}\\120\overline{)1850}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}65\\\end{array}
Find closest multiple of 120 to 185. We see that 1 \times 120 = 120 is the nearest. Now subtract 120 from 185 to get reminder 65. Add 1 to quotient.
\begin{array}{l}\phantom{120)}001\phantom{7}\\120\overline{)1850}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}650\\\end{array}
Use the 4^{th} digit 0 from dividend 1850
\begin{array}{l}\phantom{120)}0015\phantom{8}\\120\overline{)1850}\\\phantom{120)}\underline{\phantom{}120\phantom{9}}\\\phantom{120)9}650\\\phantom{120)}\underline{\phantom{9}600\phantom{}}\\\phantom{120)99}50\\\end{array}
Find closest multiple of 120 to 650. We see that 5 \times 120 = 600 is the nearest. Now subtract 600 from 650 to get reminder 50. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }50
Since 50 is less than 120, stop the division. The reminder is 50. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}