Evaluate
\frac{187}{25}=7.48
Factor
\frac{11 \cdot 17}{5 ^ {2}} = 7\frac{12}{25} = 7.48
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)187}\\\end{array}
Use the 1^{st} digit 1 from dividend 187
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)187}\\\end{array}
Since 1 is less than 25, use the next digit 8 from dividend 187 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)187}\\\end{array}
Use the 2^{nd} digit 8 from dividend 187
\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)187}\\\end{array}
Since 18 is less than 25, use the next digit 7 from dividend 187 and add 0 to the quotient
\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)187}\\\end{array}
Use the 3^{rd} digit 7 from dividend 187
\begin{array}{l}\phantom{25)}007\phantom{6}\\25\overline{)187}\\\phantom{25)}\underline{\phantom{}175\phantom{}}\\\phantom{25)9}12\\\end{array}
Find closest multiple of 25 to 187. We see that 7 \times 25 = 175 is the nearest. Now subtract 175 from 187 to get reminder 12. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }12
Since 12 is less than 25, stop the division. The reminder is 12. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}