Evaluate
\frac{866}{9}\approx 96.222222222
Factor
\frac{2 \cdot 433}{3 ^ {2}} = 96\frac{2}{9} = 96.22222222222223
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1732}\\\end{array}
Use the 1^{st} digit 1 from dividend 1732
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1732}\\\end{array}
Since 1 is less than 18, use the next digit 7 from dividend 1732 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1732}\\\end{array}
Use the 2^{nd} digit 7 from dividend 1732
\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1732}\\\end{array}
Since 17 is less than 18, use the next digit 3 from dividend 1732 and add 0 to the quotient
\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1732}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1732
\begin{array}{l}\phantom{18)}009\phantom{6}\\18\overline{)1732}\\\phantom{18)}\underline{\phantom{}162\phantom{9}}\\\phantom{18)9}11\\\end{array}
Find closest multiple of 18 to 173. We see that 9 \times 18 = 162 is the nearest. Now subtract 162 from 173 to get reminder 11. Add 9 to quotient.
\begin{array}{l}\phantom{18)}009\phantom{7}\\18\overline{)1732}\\\phantom{18)}\underline{\phantom{}162\phantom{9}}\\\phantom{18)9}112\\\end{array}
Use the 4^{th} digit 2 from dividend 1732
\begin{array}{l}\phantom{18)}0096\phantom{8}\\18\overline{)1732}\\\phantom{18)}\underline{\phantom{}162\phantom{9}}\\\phantom{18)9}112\\\phantom{18)}\underline{\phantom{9}108\phantom{}}\\\phantom{18)999}4\\\end{array}
Find closest multiple of 18 to 112. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 112 to get reminder 4. Add 6 to quotient.
\text{Quotient: }96 \text{Reminder: }4
Since 4 is less than 18, stop the division. The reminder is 4. The topmost line 0096 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 96.
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}