Evaluate
7
Factor
7
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\begin{array}{l}\phantom{98)}\phantom{1}\\98\overline{)686}\\\end{array}
Use the 1^{st} digit 6 from dividend 686
\begin{array}{l}\phantom{98)}0\phantom{2}\\98\overline{)686}\\\end{array}
Since 6 is less than 98, use the next digit 8 from dividend 686 and add 0 to the quotient
\begin{array}{l}\phantom{98)}0\phantom{3}\\98\overline{)686}\\\end{array}
Use the 2^{nd} digit 8 from dividend 686
\begin{array}{l}\phantom{98)}00\phantom{4}\\98\overline{)686}\\\end{array}
Since 68 is less than 98, use the next digit 6 from dividend 686 and add 0 to the quotient
\begin{array}{l}\phantom{98)}00\phantom{5}\\98\overline{)686}\\\end{array}
Use the 3^{rd} digit 6 from dividend 686
\begin{array}{l}\phantom{98)}007\phantom{6}\\98\overline{)686}\\\phantom{98)}\underline{\phantom{}686\phantom{}}\\\phantom{98)999}0\\\end{array}
Find closest multiple of 98 to 686. We see that 7 \times 98 = 686 is the nearest. Now subtract 686 from 686 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 98, 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}