Evaluate
\frac{2500}{3}\approx 833.333333333
Factor
\frac{2 ^ {2} \cdot 5 ^ {4}}{3} = 833\frac{1}{3} = 833.3333333333334
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)30000}\\\end{array}
Use the 1^{st} digit 3 from dividend 30000
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)30000}\\\end{array}
Since 3 is less than 36, use the next digit 0 from dividend 30000 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)30000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 30000
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)30000}\\\end{array}
Since 30 is less than 36, use the next digit 0 from dividend 30000 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)30000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 30000
\begin{array}{l}\phantom{36)}008\phantom{6}\\36\overline{)30000}\\\phantom{36)}\underline{\phantom{}288\phantom{99}}\\\phantom{36)9}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.
\begin{array}{l}\phantom{36)}008\phantom{7}\\36\overline{)30000}\\\phantom{36)}\underline{\phantom{}288\phantom{99}}\\\phantom{36)9}120\\\end{array}
Use the 4^{th} digit 0 from dividend 30000
\begin{array}{l}\phantom{36)}0083\phantom{8}\\36\overline{)30000}\\\phantom{36)}\underline{\phantom{}288\phantom{99}}\\\phantom{36)9}120\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\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.
\begin{array}{l}\phantom{36)}0083\phantom{9}\\36\overline{)30000}\\\phantom{36)}\underline{\phantom{}288\phantom{99}}\\\phantom{36)9}120\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}120\\\end{array}
Use the 5^{th} digit 0 from dividend 30000
\begin{array}{l}\phantom{36)}00833\phantom{10}\\36\overline{)30000}\\\phantom{36)}\underline{\phantom{}288\phantom{99}}\\\phantom{36)9}120\\\phantom{36)}\underline{\phantom{9}108\phantom{9}}\\\phantom{36)99}120\\\phantom{36)}\underline{\phantom{99}108\phantom{}}\\\phantom{36)999}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: }833 \text{Reminder: }12
Since 12 is less than 36, stop the division. The reminder is 12. The topmost line 00833 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 833.
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}