Evaluate
93
Factor
3\times 31
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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)2790}\\\end{array}
Use the 1^{st} digit 2 from dividend 2790
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)2790}\\\end{array}
Since 2 is less than 30, use the next digit 7 from dividend 2790 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)2790}\\\end{array}
Use the 2^{nd} digit 7 from dividend 2790
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)2790}\\\end{array}
Since 27 is less than 30, use the next digit 9 from dividend 2790 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)2790}\\\end{array}
Use the 3^{rd} digit 9 from dividend 2790
\begin{array}{l}\phantom{30)}009\phantom{6}\\30\overline{)2790}\\\phantom{30)}\underline{\phantom{}270\phantom{9}}\\\phantom{30)99}9\\\end{array}
Find closest multiple of 30 to 279. We see that 9 \times 30 = 270 is the nearest. Now subtract 270 from 279 to get reminder 9. Add 9 to quotient.
\begin{array}{l}\phantom{30)}009\phantom{7}\\30\overline{)2790}\\\phantom{30)}\underline{\phantom{}270\phantom{9}}\\\phantom{30)99}90\\\end{array}
Use the 4^{th} digit 0 from dividend 2790
\begin{array}{l}\phantom{30)}0093\phantom{8}\\30\overline{)2790}\\\phantom{30)}\underline{\phantom{}270\phantom{9}}\\\phantom{30)99}90\\\phantom{30)}\underline{\phantom{99}90\phantom{}}\\\phantom{30)9999}0\\\end{array}
Find closest multiple of 30 to 90. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 90 to get reminder 0. Add 3 to quotient.
\text{Quotient: }93 \text{Reminder: }0
Since 0 is less than 30, stop the division. The reminder is 0. The topmost line 0093 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 93.
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}