Evaluate
18
Factor
2\times 3^{2}
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\begin{array}{l}\phantom{77)}\phantom{1}\\77\overline{)1386}\\\end{array}
Use the 1^{st} digit 1 from dividend 1386
\begin{array}{l}\phantom{77)}0\phantom{2}\\77\overline{)1386}\\\end{array}
Since 1 is less than 77, use the next digit 3 from dividend 1386 and add 0 to the quotient
\begin{array}{l}\phantom{77)}0\phantom{3}\\77\overline{)1386}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1386
\begin{array}{l}\phantom{77)}00\phantom{4}\\77\overline{)1386}\\\end{array}
Since 13 is less than 77, use the next digit 8 from dividend 1386 and add 0 to the quotient
\begin{array}{l}\phantom{77)}00\phantom{5}\\77\overline{)1386}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1386
\begin{array}{l}\phantom{77)}001\phantom{6}\\77\overline{)1386}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}61\\\end{array}
Find closest multiple of 77 to 138. We see that 1 \times 77 = 77 is the nearest. Now subtract 77 from 138 to get reminder 61. Add 1 to quotient.
\begin{array}{l}\phantom{77)}001\phantom{7}\\77\overline{)1386}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}616\\\end{array}
Use the 4^{th} digit 6 from dividend 1386
\begin{array}{l}\phantom{77)}0018\phantom{8}\\77\overline{)1386}\\\phantom{77)}\underline{\phantom{9}77\phantom{9}}\\\phantom{77)9}616\\\phantom{77)}\underline{\phantom{9}616\phantom{}}\\\phantom{77)9999}0\\\end{array}
Find closest multiple of 77 to 616. We see that 8 \times 77 = 616 is the nearest. Now subtract 616 from 616 to get reminder 0. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }0
Since 0 is less than 77, stop the division. The reminder is 0. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}