Evaluate
\frac{23635}{33}\approx 716.212121212
Factor
\frac{5 \cdot 29 \cdot 163}{3 \cdot 11} = 716\frac{7}{33} = 716.2121212121212
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\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)23635}\\\end{array}
Use the 1^{st} digit 2 from dividend 23635
\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)23635}\\\end{array}
Since 2 is less than 33, use the next digit 3 from dividend 23635 and add 0 to the quotient
\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)23635}\\\end{array}
Use the 2^{nd} digit 3 from dividend 23635
\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)23635}\\\end{array}
Since 23 is less than 33, use the next digit 6 from dividend 23635 and add 0 to the quotient
\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)23635}\\\end{array}
Use the 3^{rd} digit 6 from dividend 23635
\begin{array}{l}\phantom{33)}007\phantom{6}\\33\overline{)23635}\\\phantom{33)}\underline{\phantom{}231\phantom{99}}\\\phantom{33)99}5\\\end{array}
Find closest multiple of 33 to 236. We see that 7 \times 33 = 231 is the nearest. Now subtract 231 from 236 to get reminder 5. Add 7 to quotient.
\begin{array}{l}\phantom{33)}007\phantom{7}\\33\overline{)23635}\\\phantom{33)}\underline{\phantom{}231\phantom{99}}\\\phantom{33)99}53\\\end{array}
Use the 4^{th} digit 3 from dividend 23635
\begin{array}{l}\phantom{33)}0071\phantom{8}\\33\overline{)23635}\\\phantom{33)}\underline{\phantom{}231\phantom{99}}\\\phantom{33)99}53\\\phantom{33)}\underline{\phantom{99}33\phantom{9}}\\\phantom{33)99}20\\\end{array}
Find closest multiple of 33 to 53. We see that 1 \times 33 = 33 is the nearest. Now subtract 33 from 53 to get reminder 20. Add 1 to quotient.
\begin{array}{l}\phantom{33)}0071\phantom{9}\\33\overline{)23635}\\\phantom{33)}\underline{\phantom{}231\phantom{99}}\\\phantom{33)99}53\\\phantom{33)}\underline{\phantom{99}33\phantom{9}}\\\phantom{33)99}205\\\end{array}
Use the 5^{th} digit 5 from dividend 23635
\begin{array}{l}\phantom{33)}00716\phantom{10}\\33\overline{)23635}\\\phantom{33)}\underline{\phantom{}231\phantom{99}}\\\phantom{33)99}53\\\phantom{33)}\underline{\phantom{99}33\phantom{9}}\\\phantom{33)99}205\\\phantom{33)}\underline{\phantom{99}198\phantom{}}\\\phantom{33)9999}7\\\end{array}
Find closest multiple of 33 to 205. We see that 6 \times 33 = 198 is the nearest. Now subtract 198 from 205 to get reminder 7. Add 6 to quotient.
\text{Quotient: }716 \text{Reminder: }7
Since 7 is less than 33, stop the division. The reminder is 7. The topmost line 00716 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 716.
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}