Evaluate
\frac{2143}{90}\approx 23.811111111
Factor
\frac{2143}{2 \cdot 3 ^ {2} \cdot 5} = 23\frac{73}{90} = 23.81111111111111
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)2143}\\\end{array}
Use the 1^{st} digit 2 from dividend 2143
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)2143}\\\end{array}
Since 2 is less than 90, use the next digit 1 from dividend 2143 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)2143}\\\end{array}
Use the 2^{nd} digit 1 from dividend 2143
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)2143}\\\end{array}
Since 21 is less than 90, use the next digit 4 from dividend 2143 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)2143}\\\end{array}
Use the 3^{rd} digit 4 from dividend 2143
\begin{array}{l}\phantom{90)}002\phantom{6}\\90\overline{)2143}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}34\\\end{array}
Find closest multiple of 90 to 214. We see that 2 \times 90 = 180 is the nearest. Now subtract 180 from 214 to get reminder 34. Add 2 to quotient.
\begin{array}{l}\phantom{90)}002\phantom{7}\\90\overline{)2143}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}343\\\end{array}
Use the 4^{th} digit 3 from dividend 2143
\begin{array}{l}\phantom{90)}0023\phantom{8}\\90\overline{)2143}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}343\\\phantom{90)}\underline{\phantom{9}270\phantom{}}\\\phantom{90)99}73\\\end{array}
Find closest multiple of 90 to 343. We see that 3 \times 90 = 270 is the nearest. Now subtract 270 from 343 to get reminder 73. Add 3 to quotient.
\text{Quotient: }23 \text{Reminder: }73
Since 73 is less than 90, stop the division. The reminder is 73. The topmost line 0023 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 23.
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}