Evaluate
\frac{115}{28}\approx 4.107142857
Factor
\frac{5 \cdot 23}{2 ^ {2} \cdot 7} = 4\frac{3}{28} = 4.107142857142857
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\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)230}\\\end{array}
Use the 1^{st} digit 2 from dividend 230
\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)230}\\\end{array}
Since 2 is less than 56, use the next digit 3 from dividend 230 and add 0 to the quotient
\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)230}\\\end{array}
Use the 2^{nd} digit 3 from dividend 230
\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)230}\\\end{array}
Since 23 is less than 56, use the next digit 0 from dividend 230 and add 0 to the quotient
\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)230}\\\end{array}
Use the 3^{rd} digit 0 from dividend 230
\begin{array}{l}\phantom{56)}004\phantom{6}\\56\overline{)230}\\\phantom{56)}\underline{\phantom{}224\phantom{}}\\\phantom{56)99}6\\\end{array}
Find closest multiple of 56 to 230. We see that 4 \times 56 = 224 is the nearest. Now subtract 224 from 230 to get reminder 6. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }6
Since 6 is less than 56, stop the division. The reminder is 6. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}