Evaluate
\frac{2381}{90}\approx 26.455555556
Factor
\frac{2381}{2 \cdot 3 ^ {2} \cdot 5} = 26\frac{41}{90} = 26.455555555555556
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)2381}\\\end{array}
Use the 1^{st} digit 2 from dividend 2381
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)2381}\\\end{array}
Since 2 is less than 90, use the next digit 3 from dividend 2381 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)2381}\\\end{array}
Use the 2^{nd} digit 3 from dividend 2381
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)2381}\\\end{array}
Since 23 is less than 90, use the next digit 8 from dividend 2381 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)2381}\\\end{array}
Use the 3^{rd} digit 8 from dividend 2381
\begin{array}{l}\phantom{90)}002\phantom{6}\\90\overline{)2381}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}58\\\end{array}
Find closest multiple of 90 to 238. We see that 2 \times 90 = 180 is the nearest. Now subtract 180 from 238 to get reminder 58. Add 2 to quotient.
\begin{array}{l}\phantom{90)}002\phantom{7}\\90\overline{)2381}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}581\\\end{array}
Use the 4^{th} digit 1 from dividend 2381
\begin{array}{l}\phantom{90)}0026\phantom{8}\\90\overline{)2381}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}581\\\phantom{90)}\underline{\phantom{9}540\phantom{}}\\\phantom{90)99}41\\\end{array}
Find closest multiple of 90 to 581. We see that 6 \times 90 = 540 is the nearest. Now subtract 540 from 581 to get reminder 41. Add 6 to quotient.
\text{Quotient: }26 \text{Reminder: }41
Since 41 is less than 90, stop the division. The reminder is 41. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}