Evaluate
7
Factor
7
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\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)168}\\\end{array}
Use the 1^{st} digit 1 from dividend 168
\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)168}\\\end{array}
Since 1 is less than 24, use the next digit 6 from dividend 168 and add 0 to the quotient
\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)168}\\\end{array}
Use the 2^{nd} digit 6 from dividend 168
\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)168}\\\end{array}
Since 16 is less than 24, use the next digit 8 from dividend 168 and add 0 to the quotient
\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)168}\\\end{array}
Use the 3^{rd} digit 8 from dividend 168
\begin{array}{l}\phantom{24)}007\phantom{6}\\24\overline{)168}\\\phantom{24)}\underline{\phantom{}168\phantom{}}\\\phantom{24)999}0\\\end{array}
Find closest multiple of 24 to 168. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.
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}