Evaluate
\frac{19570}{593}\approx 33.001686341
Factor
\frac{2 \cdot 5 \cdot 19 \cdot 103}{593} = 33\frac{1}{593} = 33.00168634064081
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\begin{array}{l}\phantom{1186)}\phantom{1}\\1186\overline{)39140}\\\end{array}
Use the 1^{st} digit 3 from dividend 39140
\begin{array}{l}\phantom{1186)}0\phantom{2}\\1186\overline{)39140}\\\end{array}
Since 3 is less than 1186, use the next digit 9 from dividend 39140 and add 0 to the quotient
\begin{array}{l}\phantom{1186)}0\phantom{3}\\1186\overline{)39140}\\\end{array}
Use the 2^{nd} digit 9 from dividend 39140
\begin{array}{l}\phantom{1186)}00\phantom{4}\\1186\overline{)39140}\\\end{array}
Since 39 is less than 1186, use the next digit 1 from dividend 39140 and add 0 to the quotient
\begin{array}{l}\phantom{1186)}00\phantom{5}\\1186\overline{)39140}\\\end{array}
Use the 3^{rd} digit 1 from dividend 39140
\begin{array}{l}\phantom{1186)}000\phantom{6}\\1186\overline{)39140}\\\end{array}
Since 391 is less than 1186, use the next digit 4 from dividend 39140 and add 0 to the quotient
\begin{array}{l}\phantom{1186)}000\phantom{7}\\1186\overline{)39140}\\\end{array}
Use the 4^{th} digit 4 from dividend 39140
\begin{array}{l}\phantom{1186)}0003\phantom{8}\\1186\overline{)39140}\\\phantom{1186)}\underline{\phantom{}3558\phantom{9}}\\\phantom{1186)9}356\\\end{array}
Find closest multiple of 1186 to 3914. We see that 3 \times 1186 = 3558 is the nearest. Now subtract 3558 from 3914 to get reminder 356. Add 3 to quotient.
\begin{array}{l}\phantom{1186)}0003\phantom{9}\\1186\overline{)39140}\\\phantom{1186)}\underline{\phantom{}3558\phantom{9}}\\\phantom{1186)9}3560\\\end{array}
Use the 5^{th} digit 0 from dividend 39140
\begin{array}{l}\phantom{1186)}00033\phantom{10}\\1186\overline{)39140}\\\phantom{1186)}\underline{\phantom{}3558\phantom{9}}\\\phantom{1186)9}3560\\\phantom{1186)}\underline{\phantom{9}3558\phantom{}}\\\phantom{1186)9999}2\\\end{array}
Find closest multiple of 1186 to 3560. We see that 3 \times 1186 = 3558 is the nearest. Now subtract 3558 from 3560 to get reminder 2. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }2
Since 2 is less than 1186, stop the division. The reminder is 2. The topmost line 00033 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}