Evaluate
\frac{292}{3}\approx 97.333333333
Factor
\frac{2 ^ {2} \cdot 73}{3} = 97\frac{1}{3} = 97.33333333333333
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1168}\\\end{array}
Use the 1^{st} digit 1 from dividend 1168
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1168}\\\end{array}
Since 1 is less than 12, use the next digit 1 from dividend 1168 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1168}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1168
\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1168}\\\end{array}
Since 11 is less than 12, use the next digit 6 from dividend 1168 and add 0 to the quotient
\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1168}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1168
\begin{array}{l}\phantom{12)}009\phantom{6}\\12\overline{)1168}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}8\\\end{array}
Find closest multiple of 12 to 116. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 116 to get reminder 8. Add 9 to quotient.
\begin{array}{l}\phantom{12)}009\phantom{7}\\12\overline{)1168}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}88\\\end{array}
Use the 4^{th} digit 8 from dividend 1168
\begin{array}{l}\phantom{12)}0097\phantom{8}\\12\overline{)1168}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}88\\\phantom{12)}\underline{\phantom{99}84\phantom{}}\\\phantom{12)999}4\\\end{array}
Find closest multiple of 12 to 88. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 88 to get reminder 4. Add 7 to quotient.
\text{Quotient: }97 \text{Reminder: }4
Since 4 is less than 12, stop the division. The reminder is 4. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.
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}