Evaluate
\frac{226855}{36}\approx 6301.527777778
Factor
\frac{5 \cdot 59 \cdot 769}{2 ^ {2} \cdot 3 ^ {2}} = 6301\frac{19}{36} = 6301.527777777777
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\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)453710}\\\end{array}
Use the 1^{st} digit 4 from dividend 453710
\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)453710}\\\end{array}
Since 4 is less than 72, use the next digit 5 from dividend 453710 and add 0 to the quotient
\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)453710}\\\end{array}
Use the 2^{nd} digit 5 from dividend 453710
\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)453710}\\\end{array}
Since 45 is less than 72, use the next digit 3 from dividend 453710 and add 0 to the quotient
\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)453710}\\\end{array}
Use the 3^{rd} digit 3 from dividend 453710
\begin{array}{l}\phantom{72)}006\phantom{6}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}21\\\end{array}
Find closest multiple of 72 to 453. We see that 6 \times 72 = 432 is the nearest. Now subtract 432 from 453 to get reminder 21. Add 6 to quotient.
\begin{array}{l}\phantom{72)}006\phantom{7}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\end{array}
Use the 4^{th} digit 7 from dividend 453710
\begin{array}{l}\phantom{72)}0063\phantom{8}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\phantom{72)}\underline{\phantom{9}216\phantom{99}}\\\phantom{72)999}1\\\end{array}
Find closest multiple of 72 to 217. We see that 3 \times 72 = 216 is the nearest. Now subtract 216 from 217 to get reminder 1. Add 3 to quotient.
\begin{array}{l}\phantom{72)}0063\phantom{9}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\phantom{72)}\underline{\phantom{9}216\phantom{99}}\\\phantom{72)999}11\\\end{array}
Use the 5^{th} digit 1 from dividend 453710
\begin{array}{l}\phantom{72)}00630\phantom{10}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\phantom{72)}\underline{\phantom{9}216\phantom{99}}\\\phantom{72)999}11\\\end{array}
Since 11 is less than 72, use the next digit 0 from dividend 453710 and add 0 to the quotient
\begin{array}{l}\phantom{72)}00630\phantom{11}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\phantom{72)}\underline{\phantom{9}216\phantom{99}}\\\phantom{72)999}110\\\end{array}
Use the 6^{th} digit 0 from dividend 453710
\begin{array}{l}\phantom{72)}006301\phantom{12}\\72\overline{)453710}\\\phantom{72)}\underline{\phantom{}432\phantom{999}}\\\phantom{72)9}217\\\phantom{72)}\underline{\phantom{9}216\phantom{99}}\\\phantom{72)999}110\\\phantom{72)}\underline{\phantom{9999}72\phantom{}}\\\phantom{72)9999}38\\\end{array}
Find closest multiple of 72 to 110. We see that 1 \times 72 = 72 is the nearest. Now subtract 72 from 110 to get reminder 38. Add 1 to quotient.
\text{Quotient: }6301 \text{Reminder: }38
Since 38 is less than 72, stop the division. The reminder is 38. The topmost line 006301 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6301.
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}