Evaluate
\frac{20}{3}\approx 6.666666667
Factor
\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)100}\\\end{array}
Use the 1^{st} digit 1 from dividend 100
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)100}\\\end{array}
Since 1 is less than 15, use the next digit 0 from dividend 100 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)100}\\\end{array}
Use the 2^{nd} digit 0 from dividend 100
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)100}\\\end{array}
Since 10 is less than 15, use the next digit 0 from dividend 100 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)100}\\\end{array}
Use the 3^{rd} digit 0 from dividend 100
\begin{array}{l}\phantom{15)}006\phantom{6}\\15\overline{)100}\\\phantom{15)}\underline{\phantom{9}90\phantom{}}\\\phantom{15)9}10\\\end{array}
Find closest multiple of 15 to 100. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 100 to get reminder 10. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }10
Since 10 is less than 15, stop the division. The reminder is 10. 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}