Evaluate
\frac{12437}{60}\approx 207.283333333
Factor
\frac{12437}{2 ^ {2} \cdot 3 \cdot 5} = 207\frac{17}{60} = 207.28333333333333
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\begin{array}{l}\phantom{180)}\phantom{1}\\180\overline{)37311}\\\end{array}
Use the 1^{st} digit 3 from dividend 37311
\begin{array}{l}\phantom{180)}0\phantom{2}\\180\overline{)37311}\\\end{array}
Since 3 is less than 180, use the next digit 7 from dividend 37311 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0\phantom{3}\\180\overline{)37311}\\\end{array}
Use the 2^{nd} digit 7 from dividend 37311
\begin{array}{l}\phantom{180)}00\phantom{4}\\180\overline{)37311}\\\end{array}
Since 37 is less than 180, use the next digit 3 from dividend 37311 and add 0 to the quotient
\begin{array}{l}\phantom{180)}00\phantom{5}\\180\overline{)37311}\\\end{array}
Use the 3^{rd} digit 3 from dividend 37311
\begin{array}{l}\phantom{180)}002\phantom{6}\\180\overline{)37311}\\\phantom{180)}\underline{\phantom{}360\phantom{99}}\\\phantom{180)9}13\\\end{array}
Find closest multiple of 180 to 373. We see that 2 \times 180 = 360 is the nearest. Now subtract 360 from 373 to get reminder 13. Add 2 to quotient.
\begin{array}{l}\phantom{180)}002\phantom{7}\\180\overline{)37311}\\\phantom{180)}\underline{\phantom{}360\phantom{99}}\\\phantom{180)9}131\\\end{array}
Use the 4^{th} digit 1 from dividend 37311
\begin{array}{l}\phantom{180)}0020\phantom{8}\\180\overline{)37311}\\\phantom{180)}\underline{\phantom{}360\phantom{99}}\\\phantom{180)9}131\\\end{array}
Since 131 is less than 180, use the next digit 1 from dividend 37311 and add 0 to the quotient
\begin{array}{l}\phantom{180)}0020\phantom{9}\\180\overline{)37311}\\\phantom{180)}\underline{\phantom{}360\phantom{99}}\\\phantom{180)9}1311\\\end{array}
Use the 5^{th} digit 1 from dividend 37311
\begin{array}{l}\phantom{180)}00207\phantom{10}\\180\overline{)37311}\\\phantom{180)}\underline{\phantom{}360\phantom{99}}\\\phantom{180)9}1311\\\phantom{180)}\underline{\phantom{9}1260\phantom{}}\\\phantom{180)999}51\\\end{array}
Find closest multiple of 180 to 1311. We see that 7 \times 180 = 1260 is the nearest. Now subtract 1260 from 1311 to get reminder 51. Add 7 to quotient.
\text{Quotient: }207 \text{Reminder: }51
Since 51 is less than 180, stop the division. The reminder is 51. The topmost line 00207 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 207.
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}