Evaluate
\frac{337156}{28641}\approx 11.771795678
Factor
\frac{2 ^ {2} \cdot 31 \cdot 2719}{3 \cdot 9547} = 11\frac{22105}{28641} = 11.771795677525226
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\begin{array}{l}\phantom{28641)}\phantom{1}\\28641\overline{)337156}\\\end{array}
Use the 1^{st} digit 3 from dividend 337156
\begin{array}{l}\phantom{28641)}0\phantom{2}\\28641\overline{)337156}\\\end{array}
Since 3 is less than 28641, use the next digit 3 from dividend 337156 and add 0 to the quotient
\begin{array}{l}\phantom{28641)}0\phantom{3}\\28641\overline{)337156}\\\end{array}
Use the 2^{nd} digit 3 from dividend 337156
\begin{array}{l}\phantom{28641)}00\phantom{4}\\28641\overline{)337156}\\\end{array}
Since 33 is less than 28641, use the next digit 7 from dividend 337156 and add 0 to the quotient
\begin{array}{l}\phantom{28641)}00\phantom{5}\\28641\overline{)337156}\\\end{array}
Use the 3^{rd} digit 7 from dividend 337156
\begin{array}{l}\phantom{28641)}000\phantom{6}\\28641\overline{)337156}\\\end{array}
Since 337 is less than 28641, use the next digit 1 from dividend 337156 and add 0 to the quotient
\begin{array}{l}\phantom{28641)}000\phantom{7}\\28641\overline{)337156}\\\end{array}
Use the 4^{th} digit 1 from dividend 337156
\begin{array}{l}\phantom{28641)}0000\phantom{8}\\28641\overline{)337156}\\\end{array}
Since 3371 is less than 28641, use the next digit 5 from dividend 337156 and add 0 to the quotient
\begin{array}{l}\phantom{28641)}0000\phantom{9}\\28641\overline{)337156}\\\end{array}
Use the 5^{th} digit 5 from dividend 337156
\begin{array}{l}\phantom{28641)}00001\phantom{10}\\28641\overline{)337156}\\\phantom{28641)}\underline{\phantom{}28641\phantom{9}}\\\phantom{28641)9}5074\\\end{array}
Find closest multiple of 28641 to 33715. We see that 1 \times 28641 = 28641 is the nearest. Now subtract 28641 from 33715 to get reminder 5074. Add 1 to quotient.
\begin{array}{l}\phantom{28641)}00001\phantom{11}\\28641\overline{)337156}\\\phantom{28641)}\underline{\phantom{}28641\phantom{9}}\\\phantom{28641)9}50746\\\end{array}
Use the 6^{th} digit 6 from dividend 337156
\begin{array}{l}\phantom{28641)}000011\phantom{12}\\28641\overline{)337156}\\\phantom{28641)}\underline{\phantom{}28641\phantom{9}}\\\phantom{28641)9}50746\\\phantom{28641)}\underline{\phantom{9}28641\phantom{}}\\\phantom{28641)9}22105\\\end{array}
Find closest multiple of 28641 to 50746. We see that 1 \times 28641 = 28641 is the nearest. Now subtract 28641 from 50746 to get reminder 22105. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }22105
Since 22105 is less than 28641, stop the division. The reminder is 22105. The topmost line 000011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}