Evaluate
\frac{146}{25}=5.84
Factor
\frac{2 \cdot 73}{5 ^ {2}} = 5\frac{21}{25} = 5.84
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)146}\\\end{array}
Use the 1^{st} digit 1 from dividend 146
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)146}\\\end{array}
Since 1 is less than 25, use the next digit 4 from dividend 146 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)146}\\\end{array}
Use the 2^{nd} digit 4 from dividend 146
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)146}\\\end{array}
Since 14 is less than 25, use the next digit 6 from dividend 146 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)146}\\\end{array}
Use the 3^{rd} digit 6 from dividend 146
\begin{array}{l}\phantom{25)}005\phantom{6}\\25\overline{)146}\\\phantom{25)}\underline{\phantom{}125\phantom{}}\\\phantom{25)9}21\\\end{array}
Find closest multiple of 25 to 146. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 146 to get reminder 21. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }21
Since 21 is less than 25, stop the division. The reminder is 21. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}