Evaluate
\frac{74}{25}=2.96
Factor
\frac{2 \cdot 37}{5 ^ {2}} = 2\frac{24}{25} = 2.96
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)74}\\\end{array}
Use the 1^{st} digit 7 from dividend 74
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)74}\\\end{array}
Since 7 is less than 25, use the next digit 4 from dividend 74 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)74}\\\end{array}
Use the 2^{nd} digit 4 from dividend 74
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)74}\\\phantom{25)}\underline{\phantom{}50\phantom{}}\\\phantom{25)}24\\\end{array}
Find closest multiple of 25 to 74. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 74 to get reminder 24. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }24
Since 24 is less than 25, stop the division. The reminder is 24. 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}