Evaluate
63
Factor
3^{2}\times 7
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1134}\\\end{array}
Use the 1^{st} digit 1 from dividend 1134
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1134}\\\end{array}
Since 1 is less than 18, use the next digit 1 from dividend 1134 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1134}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1134
\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1134}\\\end{array}
Since 11 is less than 18, use the next digit 3 from dividend 1134 and add 0 to the quotient
\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1134}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1134
\begin{array}{l}\phantom{18)}006\phantom{6}\\18\overline{)1134}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)99}5\\\end{array}
Find closest multiple of 18 to 113. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 113 to get reminder 5. Add 6 to quotient.
\begin{array}{l}\phantom{18)}006\phantom{7}\\18\overline{)1134}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)99}54\\\end{array}
Use the 4^{th} digit 4 from dividend 1134
\begin{array}{l}\phantom{18)}0063\phantom{8}\\18\overline{)1134}\\\phantom{18)}\underline{\phantom{}108\phantom{9}}\\\phantom{18)99}54\\\phantom{18)}\underline{\phantom{99}54\phantom{}}\\\phantom{18)9999}0\\\end{array}
Find closest multiple of 18 to 54. We see that 3 \times 18 = 54 is the nearest. Now subtract 54 from 54 to get reminder 0. Add 3 to quotient.
\text{Quotient: }63 \text{Reminder: }0
Since 0 is less than 18, stop the division. The reminder is 0. The topmost line 0063 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 63.
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}