Evaluate
\frac{119}{10}=11.9
Factor
\frac{7 \cdot 17}{2 \cdot 5} = 11\frac{9}{10} = 11.9
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\begin{array}{l}\phantom{50)}\phantom{1}\\50\overline{)595}\\\end{array}
Use the 1^{st} digit 5 from dividend 595
\begin{array}{l}\phantom{50)}0\phantom{2}\\50\overline{)595}\\\end{array}
Since 5 is less than 50, use the next digit 9 from dividend 595 and add 0 to the quotient
\begin{array}{l}\phantom{50)}0\phantom{3}\\50\overline{)595}\\\end{array}
Use the 2^{nd} digit 9 from dividend 595
\begin{array}{l}\phantom{50)}01\phantom{4}\\50\overline{)595}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)9}9\\\end{array}
Find closest multiple of 50 to 59. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 59 to get reminder 9. Add 1 to quotient.
\begin{array}{l}\phantom{50)}01\phantom{5}\\50\overline{)595}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)9}95\\\end{array}
Use the 3^{rd} digit 5 from dividend 595
\begin{array}{l}\phantom{50)}011\phantom{6}\\50\overline{)595}\\\phantom{50)}\underline{\phantom{}50\phantom{9}}\\\phantom{50)9}95\\\phantom{50)}\underline{\phantom{9}50\phantom{}}\\\phantom{50)9}45\\\end{array}
Find closest multiple of 50 to 95. We see that 1 \times 50 = 50 is the nearest. Now subtract 50 from 95 to get reminder 45. Add 1 to quotient.
\text{Quotient: }11 \text{Reminder: }45
Since 45 is less than 50, stop the division. The reminder is 45. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.
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}