Evaluate
\frac{158}{25}=6.32
Factor
\frac{2 \cdot 79}{5 ^ {2}} = 6\frac{8}{25} = 6.32
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)158}\\\end{array}
Use the 1^{st} digit 1 from dividend 158
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)158}\\\end{array}
Since 1 is less than 25, use the next digit 5 from dividend 158 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)158}\\\end{array}
Use the 2^{nd} digit 5 from dividend 158
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)158}\\\end{array}
Since 15 is less than 25, use the next digit 8 from dividend 158 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)158}\\\end{array}
Use the 3^{rd} digit 8 from dividend 158
\begin{array}{l}\phantom{25)}006\phantom{6}\\25\overline{)158}\\\phantom{25)}\underline{\phantom{}150\phantom{}}\\\phantom{25)99}8\\\end{array}
Find closest multiple of 25 to 158. We see that 6 \times 25 = 150 is the nearest. Now subtract 150 from 158 to get reminder 8. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }8
Since 8 is less than 25, stop the division. The reminder is 8. 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}