Evaluate
\frac{500}{23}\approx 21.739130435
Factor
\frac{2 ^ {2} \cdot 5 ^ {3}}{23} = 21\frac{17}{23} = 21.73913043478261
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\begin{array}{l}\phantom{184)}\phantom{1}\\184\overline{)4000}\\\end{array}
Use the 1^{st} digit 4 from dividend 4000
\begin{array}{l}\phantom{184)}0\phantom{2}\\184\overline{)4000}\\\end{array}
Since 4 is less than 184, use the next digit 0 from dividend 4000 and add 0 to the quotient
\begin{array}{l}\phantom{184)}0\phantom{3}\\184\overline{)4000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 4000
\begin{array}{l}\phantom{184)}00\phantom{4}\\184\overline{)4000}\\\end{array}
Since 40 is less than 184, use the next digit 0 from dividend 4000 and add 0 to the quotient
\begin{array}{l}\phantom{184)}00\phantom{5}\\184\overline{)4000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4000
\begin{array}{l}\phantom{184)}002\phantom{6}\\184\overline{)4000}\\\phantom{184)}\underline{\phantom{}368\phantom{9}}\\\phantom{184)9}32\\\end{array}
Find closest multiple of 184 to 400. We see that 2 \times 184 = 368 is the nearest. Now subtract 368 from 400 to get reminder 32. Add 2 to quotient.
\begin{array}{l}\phantom{184)}002\phantom{7}\\184\overline{)4000}\\\phantom{184)}\underline{\phantom{}368\phantom{9}}\\\phantom{184)9}320\\\end{array}
Use the 4^{th} digit 0 from dividend 4000
\begin{array}{l}\phantom{184)}0021\phantom{8}\\184\overline{)4000}\\\phantom{184)}\underline{\phantom{}368\phantom{9}}\\\phantom{184)9}320\\\phantom{184)}\underline{\phantom{9}184\phantom{}}\\\phantom{184)9}136\\\end{array}
Find closest multiple of 184 to 320. We see that 1 \times 184 = 184 is the nearest. Now subtract 184 from 320 to get reminder 136. Add 1 to quotient.
\text{Quotient: }21 \text{Reminder: }136
Since 136 is less than 184, stop the division. The reminder is 136. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.
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}