Evaluate
2
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\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)98}\\\end{array}
Use the 1^{st} digit 9 from dividend 98
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)98}\\\end{array}
Since 9 is less than 49, use the next digit 8 from dividend 98 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)98}\\\end{array}
Use the 2^{nd} digit 8 from dividend 98
\begin{array}{l}\phantom{49)}02\phantom{4}\\49\overline{)98}\\\phantom{49)}\underline{\phantom{}98\phantom{}}\\\phantom{49)99}0\\\end{array}
Find closest multiple of 49 to 98. We see that 2 \times 49 = 98 is the nearest. Now subtract 98 from 98 to get reminder 0. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }0
Since 0 is less than 49, stop the division. The reminder is 0. The topmost line 02 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}