Evaluate
\frac{23}{3}\approx 7.666666667
Factor
\frac{23}{3} = 7\frac{2}{3} = 7.666666666666667
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)276}\\\end{array}
Use the 1^{st} digit 2 from dividend 276
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)276}\\\end{array}
Since 2 is less than 36, use the next digit 7 from dividend 276 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)276}\\\end{array}
Use the 2^{nd} digit 7 from dividend 276
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)276}\\\end{array}
Since 27 is less than 36, use the next digit 6 from dividend 276 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)276}\\\end{array}
Use the 3^{rd} digit 6 from dividend 276
\begin{array}{l}\phantom{36)}007\phantom{6}\\36\overline{)276}\\\phantom{36)}\underline{\phantom{}252\phantom{}}\\\phantom{36)9}24\\\end{array}
Find closest multiple of 36 to 276. We see that 7 \times 36 = 252 is the nearest. Now subtract 252 from 276 to get reminder 24. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }24
Since 24 is less than 36, stop the division. The reminder is 24. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}