Evaluate
19
Factor
19
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\begin{array}{l}\phantom{82)}\phantom{1}\\82\overline{)1558}\\\end{array}
Use the 1^{st} digit 1 from dividend 1558
\begin{array}{l}\phantom{82)}0\phantom{2}\\82\overline{)1558}\\\end{array}
Since 1 is less than 82, use the next digit 5 from dividend 1558 and add 0 to the quotient
\begin{array}{l}\phantom{82)}0\phantom{3}\\82\overline{)1558}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1558
\begin{array}{l}\phantom{82)}00\phantom{4}\\82\overline{)1558}\\\end{array}
Since 15 is less than 82, use the next digit 5 from dividend 1558 and add 0 to the quotient
\begin{array}{l}\phantom{82)}00\phantom{5}\\82\overline{)1558}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1558
\begin{array}{l}\phantom{82)}001\phantom{6}\\82\overline{)1558}\\\phantom{82)}\underline{\phantom{9}82\phantom{9}}\\\phantom{82)9}73\\\end{array}
Find closest multiple of 82 to 155. We see that 1 \times 82 = 82 is the nearest. Now subtract 82 from 155 to get reminder 73. Add 1 to quotient.
\begin{array}{l}\phantom{82)}001\phantom{7}\\82\overline{)1558}\\\phantom{82)}\underline{\phantom{9}82\phantom{9}}\\\phantom{82)9}738\\\end{array}
Use the 4^{th} digit 8 from dividend 1558
\begin{array}{l}\phantom{82)}0019\phantom{8}\\82\overline{)1558}\\\phantom{82)}\underline{\phantom{9}82\phantom{9}}\\\phantom{82)9}738\\\phantom{82)}\underline{\phantom{9}738\phantom{}}\\\phantom{82)9999}0\\\end{array}
Find closest multiple of 82 to 738. We see that 9 \times 82 = 738 is the nearest. Now subtract 738 from 738 to get reminder 0. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }0
Since 0 is less than 82, stop the division. The reminder is 0. The topmost line 0019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.
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}