Evaluate
\frac{152}{25}=6.08
Factor
\frac{2 ^ {3} \cdot 19}{5 ^ {2}} = 6\frac{2}{25} = 6.08
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)152}\\\end{array}
Use the 1^{st} digit 1 from dividend 152
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)152}\\\end{array}
Since 1 is less than 25, use the next digit 5 from dividend 152 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)152}\\\end{array}
Use the 2^{nd} digit 5 from dividend 152
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)152}\\\end{array}
Since 15 is less than 25, use the next digit 2 from dividend 152 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)152}\\\end{array}
Use the 3^{rd} digit 2 from dividend 152
\begin{array}{l}\phantom{25)}006\phantom{6}\\25\overline{)152}\\\phantom{25)}\underline{\phantom{}150\phantom{}}\\\phantom{25)99}2\\\end{array}
Find closest multiple of 25 to 152. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 152 to get reminder 2. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }2
Since 2 is less than 25, stop the division. The reminder is 2. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}