Evaluate
\frac{175}{29}\approx 6.034482759
Factor
\frac{5 ^ {2} \cdot 7}{29} = 6\frac{1}{29} = 6.0344827586206895
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)175}\\\end{array}
Use the 1^{st} digit 1 from dividend 175
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)175}\\\end{array}
Since 1 is less than 29, use the next digit 7 from dividend 175 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)175}\\\end{array}
Use the 2^{nd} digit 7 from dividend 175
\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)175}\\\end{array}
Since 17 is less than 29, use the next digit 5 from dividend 175 and add 0 to the quotient
\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)175}\\\end{array}
Use the 3^{rd} digit 5 from dividend 175
\begin{array}{l}\phantom{29)}006\phantom{6}\\29\overline{)175}\\\phantom{29)}\underline{\phantom{}174\phantom{}}\\\phantom{29)99}1\\\end{array}
Find closest multiple of 29 to 175. We see that 6 \times 29 = 174 is the nearest. Now subtract 174 from 175 to get reminder 1. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }1
Since 1 is less than 29, stop the division. The reminder is 1. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.
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}