Evaluate
6
Factor
2\times 3
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)210}\\\end{array}
Use the 1^{st} digit 2 from dividend 210
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)210}\\\end{array}
Since 2 is less than 35, use the next digit 1 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)210}\\\end{array}
Use the 2^{nd} digit 1 from dividend 210
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)210}\\\end{array}
Since 21 is less than 35, use the next digit 0 from dividend 210 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)210}\\\end{array}
Use the 3^{rd} digit 0 from dividend 210
\begin{array}{l}\phantom{35)}006\phantom{6}\\35\overline{)210}\\\phantom{35)}\underline{\phantom{}210\phantom{}}\\\phantom{35)999}0\\\end{array}
Find closest multiple of 35 to 210. We see that 6 \times 35 = 210 is the nearest. Now subtract 210 from 210 to get reminder 0. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }0
Since 0 is less than 35, stop the division. The reminder is 0. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}