Evaluate
\frac{49}{25}=1.96
Factor
\frac{7 ^ {2}}{5 ^ {2}} = 1\frac{24}{25} = 1.96
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\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)147}\\\end{array}
Use the 1^{st} digit 1 from dividend 147
\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)147}\\\end{array}
Since 1 is less than 75, use the next digit 4 from dividend 147 and add 0 to the quotient
\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)147}\\\end{array}
Use the 2^{nd} digit 4 from dividend 147
\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)147}\\\end{array}
Since 14 is less than 75, use the next digit 7 from dividend 147 and add 0 to the quotient
\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)147}\\\end{array}
Use the 3^{rd} digit 7 from dividend 147
\begin{array}{l}\phantom{75)}001\phantom{6}\\75\overline{)147}\\\phantom{75)}\underline{\phantom{9}75\phantom{}}\\\phantom{75)9}72\\\end{array}
Find closest multiple of 75 to 147. We see that 1 \times 75 = 75 is the nearest. Now subtract 75 from 147 to get reminder 72. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }72
Since 72 is less than 75, stop the division. The reminder is 72. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}