Evaluate
\frac{94}{5}=18.8
Factor
\frac{2 \cdot 47}{5} = 18\frac{4}{5} = 18.8
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)470}\\\end{array}
Use the 1^{st} digit 4 from dividend 470
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)470}\\\end{array}
Since 4 is less than 25, use the next digit 7 from dividend 470 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)470}\\\end{array}
Use the 2^{nd} digit 7 from dividend 470
\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)470}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}22\\\end{array}
Find closest multiple of 25 to 47. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 47 to get reminder 22. Add 1 to quotient.
\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)470}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}220\\\end{array}
Use the 3^{rd} digit 0 from dividend 470
\begin{array}{l}\phantom{25)}018\phantom{6}\\25\overline{)470}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)}220\\\phantom{25)}\underline{\phantom{}200\phantom{}}\\\phantom{25)9}20\\\end{array}
Find closest multiple of 25 to 220. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 220 to get reminder 20. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }20
Since 20 is less than 25, stop the division. The reminder is 20. The topmost line 018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}