Evaluate
\frac{7}{3}\approx 2.333333333
Factor
\frac{7}{3} = 2\frac{1}{3} = 2.3333333333333335
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\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)196}\\\end{array}
Use the 1^{st} digit 1 from dividend 196
\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)196}\\\end{array}
Since 1 is less than 84, use the next digit 9 from dividend 196 and add 0 to the quotient
\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)196}\\\end{array}
Use the 2^{nd} digit 9 from dividend 196
\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)196}\\\end{array}
Since 19 is less than 84, use the next digit 6 from dividend 196 and add 0 to the quotient
\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)196}\\\end{array}
Use the 3^{rd} digit 6 from dividend 196
\begin{array}{l}\phantom{84)}002\phantom{6}\\84\overline{)196}\\\phantom{84)}\underline{\phantom{}168\phantom{}}\\\phantom{84)9}28\\\end{array}
Find closest multiple of 84 to 196. We see that 2 \times 84 = 168 is the nearest. Now subtract 168 from 196 to get reminder 28. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }28
Since 28 is less than 84, stop the division. The reminder is 28. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.
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}