Evaluate
\frac{547}{6}\approx 91.166666667
Factor
\frac{547}{2 \cdot 3} = 91\frac{1}{6} = 91.16666666666667
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1094}\\\end{array}
Use the 1^{st} digit 1 from dividend 1094
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1094}\\\end{array}
Since 1 is less than 12, use the next digit 0 from dividend 1094 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1094}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1094
\begin{array}{l}\phantom{12)}00\phantom{4}\\12\overline{)1094}\\\end{array}
Since 10 is less than 12, use the next digit 9 from dividend 1094 and add 0 to the quotient
\begin{array}{l}\phantom{12)}00\phantom{5}\\12\overline{)1094}\\\end{array}
Use the 3^{rd} digit 9 from dividend 1094
\begin{array}{l}\phantom{12)}009\phantom{6}\\12\overline{)1094}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}1\\\end{array}
Find closest multiple of 12 to 109. We see that 9 \times 12 = 108 is the nearest. Now subtract 108 from 109 to get reminder 1. Add 9 to quotient.
\begin{array}{l}\phantom{12)}009\phantom{7}\\12\overline{)1094}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}14\\\end{array}
Use the 4^{th} digit 4 from dividend 1094
\begin{array}{l}\phantom{12)}0091\phantom{8}\\12\overline{)1094}\\\phantom{12)}\underline{\phantom{}108\phantom{9}}\\\phantom{12)99}14\\\phantom{12)}\underline{\phantom{99}12\phantom{}}\\\phantom{12)999}2\\\end{array}
Find closest multiple of 12 to 14. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 14 to get reminder 2. Add 1 to quotient.
\text{Quotient: }91 \text{Reminder: }2
Since 2 is less than 12, stop the division. The reminder is 2. The topmost line 0091 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 91.
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}