Evaluate
62
Factor
2\times 31
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)930}\\\end{array}
Use the 1^{st} digit 9 from dividend 930
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)930}\\\end{array}
Since 9 is less than 15, use the next digit 3 from dividend 930 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)930}\\\end{array}
Use the 2^{nd} digit 3 from dividend 930
\begin{array}{l}\phantom{15)}06\phantom{4}\\15\overline{)930}\\\phantom{15)}\underline{\phantom{}90\phantom{9}}\\\phantom{15)9}3\\\end{array}
Find closest multiple of 15 to 93. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 93 to get reminder 3. Add 6 to quotient.
\begin{array}{l}\phantom{15)}06\phantom{5}\\15\overline{)930}\\\phantom{15)}\underline{\phantom{}90\phantom{9}}\\\phantom{15)9}30\\\end{array}
Use the 3^{rd} digit 0 from dividend 930
\begin{array}{l}\phantom{15)}062\phantom{6}\\15\overline{)930}\\\phantom{15)}\underline{\phantom{}90\phantom{9}}\\\phantom{15)9}30\\\phantom{15)}\underline{\phantom{9}30\phantom{}}\\\phantom{15)999}0\\\end{array}
Find closest multiple of 15 to 30. We see that 2 \times 15 = 30 is the nearest. Now subtract 30 from 30 to get reminder 0. Add 2 to quotient.
\text{Quotient: }62 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 062 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 62.
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}