Evaluate
\frac{32429}{17}\approx 1907.588235294
Factor
\frac{32429}{17} = 1907\frac{10}{17} = 1907.5882352941176
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\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)32429}\\\end{array}
Use the 1^{st} digit 3 from dividend 32429
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)32429}\\\end{array}
Since 3 is less than 17, use the next digit 2 from dividend 32429 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)32429}\\\end{array}
Use the 2^{nd} digit 2 from dividend 32429
\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}15\\\end{array}
Find closest multiple of 17 to 32. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 32 to get reminder 15. Add 1 to quotient.
\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\end{array}
Use the 3^{rd} digit 4 from dividend 32429
\begin{array}{l}\phantom{17)}019\phantom{6}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}1\\\end{array}
Find closest multiple of 17 to 154. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 154 to get reminder 1. Add 9 to quotient.
\begin{array}{l}\phantom{17)}019\phantom{7}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}12\\\end{array}
Use the 4^{th} digit 2 from dividend 32429
\begin{array}{l}\phantom{17)}0190\phantom{8}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}12\\\end{array}
Since 12 is less than 17, use the next digit 9 from dividend 32429 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0190\phantom{9}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}129\\\end{array}
Use the 5^{th} digit 9 from dividend 32429
\begin{array}{l}\phantom{17)}01907\phantom{10}\\17\overline{)32429}\\\phantom{17)}\underline{\phantom{}17\phantom{999}}\\\phantom{17)}154\\\phantom{17)}\underline{\phantom{}153\phantom{99}}\\\phantom{17)99}129\\\phantom{17)}\underline{\phantom{99}119\phantom{}}\\\phantom{17)999}10\\\end{array}
Find closest multiple of 17 to 129. We see that 7 \times 17 = 119 is the nearest. Now subtract 119 from 129 to get reminder 10. Add 7 to quotient.
\text{Quotient: }1907 \text{Reminder: }10
Since 10 is less than 17, stop the division. The reminder is 10. The topmost line 01907 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1907.
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}