Evaluate
\frac{197}{2}=98.5
Factor
\frac{197}{2} = 98\frac{1}{2} = 98.5
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\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2758}\\\end{array}
Use the 1^{st} digit 2 from dividend 2758
\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2758}\\\end{array}
Since 2 is less than 28, use the next digit 7 from dividend 2758 and add 0 to the quotient
\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2758}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2758
\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)2758}\\\end{array}
Since 27 is less than 28, use the next digit 5 from dividend 2758 and add 0 to the quotient
\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)2758}\\\end{array}
Use the 3^{rd} digit 5 from dividend 2758
\begin{array}{l}\phantom{28)}009\phantom{6}\\28\overline{)2758}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}23\\\end{array}
Find closest multiple of 28 to 275. We see that 9 \times 28 = 252 is the nearest. Now subtract 252 from 275 to get reminder 23. Add 9 to quotient.
\begin{array}{l}\phantom{28)}009\phantom{7}\\28\overline{)2758}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}238\\\end{array}
Use the 4^{th} digit 8 from dividend 2758
\begin{array}{l}\phantom{28)}0098\phantom{8}\\28\overline{)2758}\\\phantom{28)}\underline{\phantom{}252\phantom{9}}\\\phantom{28)9}238\\\phantom{28)}\underline{\phantom{9}224\phantom{}}\\\phantom{28)99}14\\\end{array}
Find closest multiple of 28 to 238. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 238 to get reminder 14. Add 8 to quotient.
\text{Quotient: }98 \text{Reminder: }14
Since 14 is less than 28, stop the division. The reminder is 14. The topmost line 0098 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 98.
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}