Evaluate
\frac{100}{3}\approx 33.333333333
Factor
\frac{2 ^ {2} \cdot 5 ^ {2}}{3} = 33\frac{1}{3} = 33.333333333333336
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)1200}\\\end{array}
Use the 1^{st} digit 1 from dividend 1200
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)1200}\\\end{array}
Since 1 is less than 36, use the next digit 2 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)1200}\\\end{array}
Use the 2^{nd} digit 2 from dividend 1200
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)1200}\\\end{array}
Since 12 is less than 36, use the next digit 0 from dividend 1200 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)1200}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1200
\begin{array}{l}\phantom{36)}003\phantom{6}\\36\overline{)1200}\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}12\\\end{array}
Find closest multiple of 36 to 120. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 3 to quotient.
\begin{array}{l}\phantom{36)}003\phantom{7}\\36\overline{)1200}\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}120\\\end{array}
Use the 4^{th} digit 0 from dividend 1200
\begin{array}{l}\phantom{36)}0033\phantom{8}\\36\overline{)1200}\\\phantom{36)}\underline{\phantom{}108\phantom{9}}\\\phantom{36)9}120\\\phantom{36)}\underline{\phantom{9}108\phantom{}}\\\phantom{36)99}12\\\end{array}
Find closest multiple of 36 to 120. We see that 3 \times 36 = 108 is the nearest. Now subtract 108 from 120 to get reminder 12. Add 3 to quotient.
\text{Quotient: }33 \text{Reminder: }12
Since 12 is less than 36, stop the division. The reminder is 12. The topmost line 0033 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 33.
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}