Evaluate
\frac{247}{25}=9.88
Factor
\frac{13 \cdot 19}{5 ^ {2}} = 9\frac{22}{25} = 9.88
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)988}\\\end{array}
Use the 1^{st} digit 9 from dividend 988
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)988}\\\end{array}
Since 9 is less than 100, use the next digit 8 from dividend 988 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)988}\\\end{array}
Use the 2^{nd} digit 8 from dividend 988
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)988}\\\end{array}
Since 98 is less than 100, use the next digit 8 from dividend 988 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)988}\\\end{array}
Use the 3^{rd} digit 8 from dividend 988
\begin{array}{l}\phantom{100)}009\phantom{6}\\100\overline{)988}\\\phantom{100)}\underline{\phantom{}900\phantom{}}\\\phantom{100)9}88\\\end{array}
Find closest multiple of 100 to 988. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 988 to get reminder 88. Add 9 to quotient.
\text{Quotient: }9 \text{Reminder: }88
Since 88 is less than 100, stop the division. The reminder is 88. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.
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}