Evaluate
5
Factor
5
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\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)235}\\\end{array}
Use the 1^{st} digit 2 from dividend 235
\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)235}\\\end{array}
Since 2 is less than 47, use the next digit 3 from dividend 235 and add 0 to the quotient
\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)235}\\\end{array}
Use the 2^{nd} digit 3 from dividend 235
\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)235}\\\end{array}
Since 23 is less than 47, use the next digit 5 from dividend 235 and add 0 to the quotient
\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)235}\\\end{array}
Use the 3^{rd} digit 5 from dividend 235
\begin{array}{l}\phantom{47)}005\phantom{6}\\47\overline{)235}\\\phantom{47)}\underline{\phantom{}235\phantom{}}\\\phantom{47)999}0\\\end{array}
Find closest multiple of 47 to 235. We see that 5 \times 47 = 235 is the nearest. Now subtract 235 from 235 to get reminder 0. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }0
Since 0 is less than 47, stop the division. The reminder is 0. 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}