Evaluate
\frac{699}{533}\approx 1.311444653
Factor
\frac{3 \cdot 233}{13 \cdot 41} = 1\frac{166}{533} = 1.3114446529080674
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\begin{array}{l}\phantom{533)}\phantom{1}\\533\overline{)699}\\\end{array}
Use the 1^{st} digit 6 from dividend 699
\begin{array}{l}\phantom{533)}0\phantom{2}\\533\overline{)699}\\\end{array}
Since 6 is less than 533, use the next digit 9 from dividend 699 and add 0 to the quotient
\begin{array}{l}\phantom{533)}0\phantom{3}\\533\overline{)699}\\\end{array}
Use the 2^{nd} digit 9 from dividend 699
\begin{array}{l}\phantom{533)}00\phantom{4}\\533\overline{)699}\\\end{array}
Since 69 is less than 533, use the next digit 9 from dividend 699 and add 0 to the quotient
\begin{array}{l}\phantom{533)}00\phantom{5}\\533\overline{)699}\\\end{array}
Use the 3^{rd} digit 9 from dividend 699
\begin{array}{l}\phantom{533)}001\phantom{6}\\533\overline{)699}\\\phantom{533)}\underline{\phantom{}533\phantom{}}\\\phantom{533)}166\\\end{array}
Find closest multiple of 533 to 699. We see that 1 \times 533 = 533 is the nearest. Now subtract 533 from 699 to get reminder 166. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }166
Since 166 is less than 533, stop the division. The reminder is 166. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.
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}