Evaluate
32
Factor
2^{5}
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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)800}\\\end{array}
Use the 1^{st} digit 8 from dividend 800
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)800}\\\end{array}
Since 8 is less than 25, use the next digit 0 from dividend 800 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)800}\\\end{array}
Use the 2^{nd} digit 0 from dividend 800
\begin{array}{l}\phantom{25)}03\phantom{4}\\25\overline{)800}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)9}5\\\end{array}
Find closest multiple of 25 to 80. We see that 3 \times 25 = 75 is the nearest. Now subtract 75 from 80 to get reminder 5. Add 3 to quotient.
\begin{array}{l}\phantom{25)}03\phantom{5}\\25\overline{)800}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 800
\begin{array}{l}\phantom{25)}032\phantom{6}\\25\overline{)800}\\\phantom{25)}\underline{\phantom{}75\phantom{9}}\\\phantom{25)9}50\\\phantom{25)}\underline{\phantom{9}50\phantom{}}\\\phantom{25)999}0\\\end{array}
Find closest multiple of 25 to 50. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 2 to quotient.
\text{Quotient: }32 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.
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}