Evaluate
\frac{235}{206}\approx 1.140776699
Factor
\frac{5 \cdot 47}{2 \cdot 103} = 1\frac{29}{206} = 1.1407766990291262
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\begin{array}{l}\phantom{206)}\phantom{1}\\206\overline{)235}\\\end{array}
Use the 1^{st} digit 2 from dividend 235
\begin{array}{l}\phantom{206)}0\phantom{2}\\206\overline{)235}\\\end{array}
Since 2 is less than 206, use the next digit 3 from dividend 235 and add 0 to the quotient
\begin{array}{l}\phantom{206)}0\phantom{3}\\206\overline{)235}\\\end{array}
Use the 2^{nd} digit 3 from dividend 235
\begin{array}{l}\phantom{206)}00\phantom{4}\\206\overline{)235}\\\end{array}
Since 23 is less than 206, use the next digit 5 from dividend 235 and add 0 to the quotient
\begin{array}{l}\phantom{206)}00\phantom{5}\\206\overline{)235}\\\end{array}
Use the 3^{rd} digit 5 from dividend 235
\begin{array}{l}\phantom{206)}001\phantom{6}\\206\overline{)235}\\\phantom{206)}\underline{\phantom{}206\phantom{}}\\\phantom{206)9}29\\\end{array}
Find closest multiple of 206 to 235. We see that 1 \times 206 = 206 is the nearest. Now subtract 206 from 235 to get reminder 29. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }29
Since 29 is less than 206, stop the division. The reminder is 29. 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}