Evaluate
15
Factor
3\times 5
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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)150}\\\end{array}
Use the 1^{st} digit 1 from dividend 150
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)150}\\\end{array}
Since 1 is less than 10, use the next digit 5 from dividend 150 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)150}\\\end{array}
Use the 2^{nd} digit 5 from dividend 150
\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)150}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}5\\\end{array}
Find closest multiple of 10 to 15. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 15 to get reminder 5. Add 1 to quotient.
\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)150}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 150
\begin{array}{l}\phantom{10)}015\phantom{6}\\10\overline{)150}\\\phantom{10)}\underline{\phantom{}10\phantom{9}}\\\phantom{10)9}50\\\phantom{10)}\underline{\phantom{9}50\phantom{}}\\\phantom{10)999}0\\\end{array}
Find closest multiple of 10 to 50. We see that 5 \times 10 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }0
Since 0 is less than 10, stop the division. The reminder is 0. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.
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}