Evaluate
\frac{265}{9}\approx 29.444444444
Factor
\frac{5 \cdot 53}{3 ^ {2}} = 29\frac{4}{9} = 29.444444444444443
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\begin{array}{l}\phantom{36)}\phantom{1}\\36\overline{)1060}\\\end{array}
Use the 1^{st} digit 1 from dividend 1060
\begin{array}{l}\phantom{36)}0\phantom{2}\\36\overline{)1060}\\\end{array}
Since 1 is less than 36, use the next digit 0 from dividend 1060 and add 0 to the quotient
\begin{array}{l}\phantom{36)}0\phantom{3}\\36\overline{)1060}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1060
\begin{array}{l}\phantom{36)}00\phantom{4}\\36\overline{)1060}\\\end{array}
Since 10 is less than 36, use the next digit 6 from dividend 1060 and add 0 to the quotient
\begin{array}{l}\phantom{36)}00\phantom{5}\\36\overline{)1060}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1060
\begin{array}{l}\phantom{36)}002\phantom{6}\\36\overline{)1060}\\\phantom{36)}\underline{\phantom{9}72\phantom{9}}\\\phantom{36)9}34\\\end{array}
Find closest multiple of 36 to 106. We see that 2 \times 36 = 72 is the nearest. Now subtract 72 from 106 to get reminder 34. Add 2 to quotient.
\begin{array}{l}\phantom{36)}002\phantom{7}\\36\overline{)1060}\\\phantom{36)}\underline{\phantom{9}72\phantom{9}}\\\phantom{36)9}340\\\end{array}
Use the 4^{th} digit 0 from dividend 1060
\begin{array}{l}\phantom{36)}0029\phantom{8}\\36\overline{)1060}\\\phantom{36)}\underline{\phantom{9}72\phantom{9}}\\\phantom{36)9}340\\\phantom{36)}\underline{\phantom{9}324\phantom{}}\\\phantom{36)99}16\\\end{array}
Find closest multiple of 36 to 340. We see that 9 \times 36 = 324 is the nearest. Now subtract 324 from 340 to get reminder 16. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }16
Since 16 is less than 36, stop the division. The reminder is 16. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.
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}