Evaluate
7
Factor
7
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\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)77}\\\end{array}
Use the 1^{st} digit 7 from dividend 77
\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)77}\\\end{array}
Since 7 is less than 11, use the next digit 7 from dividend 77 and add 0 to the quotient
\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)77}\\\end{array}
Use the 2^{nd} digit 7 from dividend 77
\begin{array}{l}\phantom{11)}07\phantom{4}\\11\overline{)77}\\\phantom{11)}\underline{\phantom{}77\phantom{}}\\\phantom{11)99}0\\\end{array}
Find closest multiple of 11 to 77. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 77 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 07 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
Examples
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{ 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}