Evaluate
\frac{49}{3}\approx 16.333333333
Factor
\frac{7 ^ {2}}{3} = 16\frac{1}{3} = 16.333333333333332
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\begin{array}{l}\phantom{114)}\phantom{1}\\114\overline{)1862}\\\end{array}
Use the 1^{st} digit 1 from dividend 1862
\begin{array}{l}\phantom{114)}0\phantom{2}\\114\overline{)1862}\\\end{array}
Since 1 is less than 114, use the next digit 8 from dividend 1862 and add 0 to the quotient
\begin{array}{l}\phantom{114)}0\phantom{3}\\114\overline{)1862}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1862
\begin{array}{l}\phantom{114)}00\phantom{4}\\114\overline{)1862}\\\end{array}
Since 18 is less than 114, use the next digit 6 from dividend 1862 and add 0 to the quotient
\begin{array}{l}\phantom{114)}00\phantom{5}\\114\overline{)1862}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1862
\begin{array}{l}\phantom{114)}001\phantom{6}\\114\overline{)1862}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}72\\\end{array}
Find closest multiple of 114 to 186. We see that 1 \times 114 = 114 is the nearest. Now subtract 114 from 186 to get reminder 72. Add 1 to quotient.
\begin{array}{l}\phantom{114)}001\phantom{7}\\114\overline{)1862}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}722\\\end{array}
Use the 4^{th} digit 2 from dividend 1862
\begin{array}{l}\phantom{114)}0016\phantom{8}\\114\overline{)1862}\\\phantom{114)}\underline{\phantom{}114\phantom{9}}\\\phantom{114)9}722\\\phantom{114)}\underline{\phantom{9}684\phantom{}}\\\phantom{114)99}38\\\end{array}
Find closest multiple of 114 to 722. We see that 6 \times 114 = 684 is the nearest. Now subtract 684 from 722 to get reminder 38. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }38
Since 38 is less than 114, stop the division. The reminder is 38. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}