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{36)}\phantom{1}\\36\overline{)918}\\\end{array}
Use the 1^{st} digit 9 from dividend 918
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)918}\\\end{array}
Since 9 is less than 36, use the next digit 1 from dividend 918 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)918}\\\end{array}
Use the 2^{nd} digit 1 from dividend 918
\begin{array}{l}\phantom{36)}02\phantom{4}\\36\overline{)918}\\\phantom{36)}\underline{\phantom{}72\phantom{9}}\\\phantom{36)}19\\\end{array}
Find closest multiple of 36 to 91. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 91 to get reminder 19. Add 2 to quotient.
\begin{array}{l}\phantom{36)}02\phantom{5}\\36\overline{)918}\\\phantom{36)}\underline{\phantom{}72\phantom{9}}\\\phantom{36)}198\\\end{array}
Use the 3^{rd} digit 8 from dividend 918
\begin{array}{l}\phantom{36)}025\phantom{6}\\36\overline{)918}\\\phantom{36)}\underline{\phantom{}72\phantom{9}}\\\phantom{36)}198\\\phantom{36)}\underline{\phantom{}180\phantom{}}\\\phantom{36)9}18\\\end{array}
Find closest multiple of 36 to 198. We see that 5 \times 36 = 180 is the nearest. Now subtract 180 from 198 to get reminder 18. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }18
Since 18 is less than 36, stop the division. The reminder is 18. The topmost line 025 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}