Evaluate
\frac{46}{25}=1.84
Factor
\frac{2 \cdot 23}{5 ^ {2}} = 1\frac{21}{25} = 1.84
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)92}\\\end{array}
Use the 1^{st} digit 9 from dividend 92
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)92}\\\end{array}
Since 9 is less than 50, use the next digit 2 from dividend 92 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)92}\\\end{array}
Use the 2^{nd} digit 2 from dividend 92
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)92}\\\phantom{50)}\underline{\phantom{}50\phantom{}}\\\phantom{50)}42\\\end{array}
Find closest multiple of 50 to 92. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 92 to get reminder 42. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }42
Since 42 is less than 50, stop the division. The reminder is 42. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}