Evaluate
86
Factor
2\times 43
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\begin{array}{l}\phantom{18)}\phantom{1}\\18\overline{)1548}\\\end{array}
Use the 1^{st} digit 1 from dividend 1548
\begin{array}{l}\phantom{18)}0\phantom{2}\\18\overline{)1548}\\\end{array}
Since 1 is less than 18, use the next digit 5 from dividend 1548 and add 0 to the quotient
\begin{array}{l}\phantom{18)}0\phantom{3}\\18\overline{)1548}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1548
\begin{array}{l}\phantom{18)}00\phantom{4}\\18\overline{)1548}\\\end{array}
Since 15 is less than 18, use the next digit 4 from dividend 1548 and add 0 to the quotient
\begin{array}{l}\phantom{18)}00\phantom{5}\\18\overline{)1548}\\\end{array}
Use the 3^{rd} digit 4 from dividend 1548
\begin{array}{l}\phantom{18)}008\phantom{6}\\18\overline{)1548}\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)9}10\\\end{array}
Find closest multiple of 18 to 154. We see that 8 \times 18 = 144 is the nearest. Now subtract 144 from 154 to get reminder 10. Add 8 to quotient.
\begin{array}{l}\phantom{18)}008\phantom{7}\\18\overline{)1548}\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)9}108\\\end{array}
Use the 4^{th} digit 8 from dividend 1548
\begin{array}{l}\phantom{18)}0086\phantom{8}\\18\overline{)1548}\\\phantom{18)}\underline{\phantom{}144\phantom{9}}\\\phantom{18)9}108\\\phantom{18)}\underline{\phantom{9}108\phantom{}}\\\phantom{18)9999}0\\\end{array}
Find closest multiple of 18 to 108. We see that 6 \times 18 = 108 is the nearest. Now subtract 108 from 108 to get reminder 0. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }0
Since 0 is less than 18, stop the division. The reminder is 0. The topmost line 0086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}