Evaluate
92
Factor
2^{2}\times 23
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1380}\\\end{array}
Use the 1^{st} digit 1 from dividend 1380
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1380}\\\end{array}
Since 1 is less than 15, use the next digit 3 from dividend 1380 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1380}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1380
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1380}\\\end{array}
Since 13 is less than 15, use the next digit 8 from dividend 1380 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1380}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1380
\begin{array}{l}\phantom{15)}009\phantom{6}\\15\overline{)1380}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}3\\\end{array}
Find closest multiple of 15 to 138. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 138 to get reminder 3. Add 9 to quotient.
\begin{array}{l}\phantom{15)}009\phantom{7}\\15\overline{)1380}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}30\\\end{array}
Use the 4^{th} digit 0 from dividend 1380
\begin{array}{l}\phantom{15)}0092\phantom{8}\\15\overline{)1380}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)99}30\\\phantom{15)}\underline{\phantom{99}30\phantom{}}\\\phantom{15)9999}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: }92 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 0092 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 92.
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}