Evaluate
\frac{1825}{3}\approx 608.333333333
Factor
\frac{5 ^ {2} \cdot 73}{3} = 608\frac{1}{3} = 608.3333333333334
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)21900}\\\end{array}
Use the 1^{st} digit 2 from dividend 21900
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)21900}\\\end{array}
Since 2 is less than 36, use the next digit 1 from dividend 21900 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)21900}\\\end{array}
Use the 2^{nd} digit 1 from dividend 21900
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)21900}\\\end{array}
Since 21 is less than 36, use the next digit 9 from dividend 21900 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)21900}\\\end{array}
Use the 3^{rd} digit 9 from dividend 21900
\begin{array}{l}\phantom{36)}006\phantom{6}\\36\overline{)21900}\\\phantom{36)}\underline{\phantom{}216\phantom{99}}\\\phantom{36)99}3\\\end{array}
Find closest multiple of 36 to 219. We see that 6 \times 36 = 216 is the nearest. Now subtract 216 from 219 to get reminder 3. Add 6 to quotient.
\begin{array}{l}\phantom{36)}006\phantom{7}\\36\overline{)21900}\\\phantom{36)}\underline{\phantom{}216\phantom{99}}\\\phantom{36)99}30\\\end{array}
Use the 4^{th} digit 0 from dividend 21900
\begin{array}{l}\phantom{36)}0060\phantom{8}\\36\overline{)21900}\\\phantom{36)}\underline{\phantom{}216\phantom{99}}\\\phantom{36)99}30\\\end{array}
Since 30 is less than 36, use the next digit 0 from dividend 21900 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0060\phantom{9}\\36\overline{)21900}\\\phantom{36)}\underline{\phantom{}216\phantom{99}}\\\phantom{36)99}300\\\end{array}
Use the 5^{th} digit 0 from dividend 21900
\begin{array}{l}\phantom{36)}00608\phantom{10}\\36\overline{)21900}\\\phantom{36)}\underline{\phantom{}216\phantom{99}}\\\phantom{36)99}300\\\phantom{36)}\underline{\phantom{99}288\phantom{}}\\\phantom{36)999}12\\\end{array}
Find closest multiple of 36 to 300. We see that 8 \times 36 = 288 is the nearest. Now subtract 288 from 300 to get reminder 12. Add 8 to quotient.
\text{Quotient: }608 \text{Reminder: }12
Since 12 is less than 36, stop the division. The reminder is 12. The topmost line 00608 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 608.
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}