Evaluate
\frac{236}{49}\approx 4.816326531
Factor
\frac{2 ^ {2} \cdot 59}{7 ^ {2}} = 4\frac{40}{49} = 4.816326530612245
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)236}\\\end{array}
Use the 1^{st} digit 2 from dividend 236
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)236}\\\end{array}
Since 2 is less than 49, use the next digit 3 from dividend 236 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)236}\\\end{array}
Use the 2^{nd} digit 3 from dividend 236
\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)236}\\\end{array}
Since 23 is less than 49, use the next digit 6 from dividend 236 and add 0 to the quotient
\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)236}\\\end{array}
Use the 3^{rd} digit 6 from dividend 236
\begin{array}{l}\phantom{49)}004\phantom{6}\\49\overline{)236}\\\phantom{49)}\underline{\phantom{}196\phantom{}}\\\phantom{49)9}40\\\end{array}
Find closest multiple of 49 to 236. We see that 4 \times 49 = 196 is the nearest. Now subtract 196 from 236 to get reminder 40. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }40
Since 40 is less than 49, stop the division. The reminder is 40. 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}