Evaluate
\frac{51}{2}=25.5
Factor
\frac{3 \cdot 17}{2} = 25\frac{1}{2} = 25.5
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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)2295}\\\end{array}
Use the 1^{st} digit 2 from dividend 2295
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)2295}\\\end{array}
Since 2 is less than 90, use the next digit 2 from dividend 2295 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)2295}\\\end{array}
Use the 2^{nd} digit 2 from dividend 2295
\begin{array}{l}\phantom{90)}00\phantom{4}\\90\overline{)2295}\\\end{array}
Since 22 is less than 90, use the next digit 9 from dividend 2295 and add 0 to the quotient
\begin{array}{l}\phantom{90)}00\phantom{5}\\90\overline{)2295}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2295
\begin{array}{l}\phantom{90)}002\phantom{6}\\90\overline{)2295}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}49\\\end{array}
Find closest multiple of 90 to 229. We see that 2 \times 90 = 180 is the nearest. Now subtract 180 from 229 to get reminder 49. Add 2 to quotient.
\begin{array}{l}\phantom{90)}002\phantom{7}\\90\overline{)2295}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}495\\\end{array}
Use the 4^{th} digit 5 from dividend 2295
\begin{array}{l}\phantom{90)}0025\phantom{8}\\90\overline{)2295}\\\phantom{90)}\underline{\phantom{}180\phantom{9}}\\\phantom{90)9}495\\\phantom{90)}\underline{\phantom{9}450\phantom{}}\\\phantom{90)99}45\\\end{array}
Find closest multiple of 90 to 495. We see that 5 \times 90 = 450 is the nearest. Now subtract 450 from 495 to get reminder 45. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }45
Since 45 is less than 90, stop the division. The reminder is 45. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.
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}