Evaluate
19
Factor
19
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\begin{array}{l}\phantom{61)}\phantom{1}\\61\overline{)1159}\\\end{array}
Use the 1^{st} digit 1 from dividend 1159
\begin{array}{l}\phantom{61)}0\phantom{2}\\61\overline{)1159}\\\end{array}
Since 1 is less than 61, use the next digit 1 from dividend 1159 and add 0 to the quotient
\begin{array}{l}\phantom{61)}0\phantom{3}\\61\overline{)1159}\\\end{array}
Use the 2^{nd} digit 1 from dividend 1159
\begin{array}{l}\phantom{61)}00\phantom{4}\\61\overline{)1159}\\\end{array}
Since 11 is less than 61, use the next digit 5 from dividend 1159 and add 0 to the quotient
\begin{array}{l}\phantom{61)}00\phantom{5}\\61\overline{)1159}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1159
\begin{array}{l}\phantom{61)}001\phantom{6}\\61\overline{)1159}\\\phantom{61)}\underline{\phantom{9}61\phantom{9}}\\\phantom{61)9}54\\\end{array}
Find closest multiple of 61 to 115. We see that 1 \times 61 = 61 is the nearest. Now subtract 61 from 115 to get reminder 54. Add 1 to quotient.
\begin{array}{l}\phantom{61)}001\phantom{7}\\61\overline{)1159}\\\phantom{61)}\underline{\phantom{9}61\phantom{9}}\\\phantom{61)9}549\\\end{array}
Use the 4^{th} digit 9 from dividend 1159
\begin{array}{l}\phantom{61)}0019\phantom{8}\\61\overline{)1159}\\\phantom{61)}\underline{\phantom{9}61\phantom{9}}\\\phantom{61)9}549\\\phantom{61)}\underline{\phantom{9}549\phantom{}}\\\phantom{61)9999}0\\\end{array}
Find closest multiple of 61 to 549. We see that 9 \times 61 = 549 is the nearest. Now subtract 549 from 549 to get reminder 0. Add 9 to quotient.
\text{Quotient: }19 \text{Reminder: }0
Since 0 is less than 61, 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}