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{625)}\phantom{1}\\625\overline{)1225}\\\end{array}
Use the 1^{st} digit 1 from dividend 1225
\begin{array}{l}\phantom{625)}0\phantom{2}\\625\overline{)1225}\\\end{array}
Since 1 is less than 625, use the next digit 2 from dividend 1225 and add 0 to the quotient
\begin{array}{l}\phantom{625)}0\phantom{3}\\625\overline{)1225}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1225
\begin{array}{l}\phantom{625)}00\phantom{4}\\625\overline{)1225}\\\end{array}
Since 12 is less than 625, use the next digit 2 from dividend 1225 and add 0 to the quotient
\begin{array}{l}\phantom{625)}00\phantom{5}\\625\overline{)1225}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1225
\begin{array}{l}\phantom{625)}000\phantom{6}\\625\overline{)1225}\\\end{array}
Since 122 is less than 625, use the next digit 5 from dividend 1225 and add 0 to the quotient
\begin{array}{l}\phantom{625)}000\phantom{7}\\625\overline{)1225}\\\end{array}
Use the 4^{th} digit 5 from dividend 1225
\begin{array}{l}\phantom{625)}0001\phantom{8}\\625\overline{)1225}\\\phantom{625)}\underline{\phantom{9}625\phantom{}}\\\phantom{625)9}600\\\end{array}
Find closest multiple of 625 to 1225. We see that 1 \times 625 = 625 is the nearest. Now subtract 625 from 1225 to get reminder 600. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }600
Since 600 is less than 625, stop the division. The reminder is 600. The topmost line 0001 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}