Evaluate
\frac{5}{4}=1.25
Factor
\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25
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\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)90}\\\end{array}
Use the 1^{st} digit 9 from dividend 90
\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)90}\\\end{array}
Since 9 is less than 72, use the next digit 0 from dividend 90 and add 0 to the quotient
\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)90}\\\end{array}
Use the 2^{nd} digit 0 from dividend 90
\begin{array}{l}\phantom{72)}01\phantom{4}\\72\overline{)90}\\\phantom{72)}\underline{\phantom{}72\phantom{}}\\\phantom{72)}18\\\end{array}
Find closest multiple of 72 to 90. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 90 to get reminder 18. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }18
Since 18 is less than 72, stop the division. The reminder is 18. 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}