Evaluate
\frac{29}{5}=5.8
Factor
\frac{29}{5} = 5\frac{4}{5} = 5.8
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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)203}\\\end{array}
Use the 1^{st} digit 2 from dividend 203
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)203}\\\end{array}
Since 2 is less than 35, use the next digit 0 from dividend 203 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)203}\\\end{array}
Use the 2^{nd} digit 0 from dividend 203
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)203}\\\end{array}
Since 20 is less than 35, use the next digit 3 from dividend 203 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)203}\\\end{array}
Use the 3^{rd} digit 3 from dividend 203
\begin{array}{l}\phantom{35)}005\phantom{6}\\35\overline{)203}\\\phantom{35)}\underline{\phantom{}175\phantom{}}\\\phantom{35)9}28\\\end{array}
Find closest multiple of 35 to 203. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 203 to get reminder 28. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }28
Since 28 is less than 35, stop the division. The reminder is 28. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}