Evaluate
\frac{170}{29}\approx 5.862068966
Factor
\frac{2 \cdot 5 \cdot 17}{29} = 5\frac{25}{29} = 5.862068965517241
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\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)170}\\\end{array}
Use the 1^{st} digit 1 from dividend 170
\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)170}\\\end{array}
Since 1 is less than 29, use the next digit 7 from dividend 170 and add 0 to the quotient
\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)170}\\\end{array}
Use the 2^{nd} digit 7 from dividend 170
\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)170}\\\end{array}
Since 17 is less than 29, use the next digit 0 from dividend 170 and add 0 to the quotient
\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)170}\\\end{array}
Use the 3^{rd} digit 0 from dividend 170
\begin{array}{l}\phantom{29)}005\phantom{6}\\29\overline{)170}\\\phantom{29)}\underline{\phantom{}145\phantom{}}\\\phantom{29)9}25\\\end{array}
Find closest multiple of 29 to 170. We see that 5 \times 29 = 145 is the nearest. Now subtract 145 from 170 to get reminder 25. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }25
Since 25 is less than 29, stop the division. The reminder is 25. 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}