Evaluate
\frac{29333}{170}\approx 172.547058824
Factor
\frac{29333}{2 \cdot 5 \cdot 17} = 172\frac{93}{170} = 172.54705882352943
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\begin{array}{l}\phantom{170)}\phantom{1}\\170\overline{)29333}\\\end{array}
Use the 1^{st} digit 2 from dividend 29333
\begin{array}{l}\phantom{170)}0\phantom{2}\\170\overline{)29333}\\\end{array}
Since 2 is less than 170, use the next digit 9 from dividend 29333 and add 0 to the quotient
\begin{array}{l}\phantom{170)}0\phantom{3}\\170\overline{)29333}\\\end{array}
Use the 2^{nd} digit 9 from dividend 29333
\begin{array}{l}\phantom{170)}00\phantom{4}\\170\overline{)29333}\\\end{array}
Since 29 is less than 170, use the next digit 3 from dividend 29333 and add 0 to the quotient
\begin{array}{l}\phantom{170)}00\phantom{5}\\170\overline{)29333}\\\end{array}
Use the 3^{rd} digit 3 from dividend 29333
\begin{array}{l}\phantom{170)}001\phantom{6}\\170\overline{)29333}\\\phantom{170)}\underline{\phantom{}170\phantom{99}}\\\phantom{170)}123\\\end{array}
Find closest multiple of 170 to 293. We see that 1 \times 170 = 170 is the nearest. Now subtract 170 from 293 to get reminder 123. Add 1 to quotient.
\begin{array}{l}\phantom{170)}001\phantom{7}\\170\overline{)29333}\\\phantom{170)}\underline{\phantom{}170\phantom{99}}\\\phantom{170)}1233\\\end{array}
Use the 4^{th} digit 3 from dividend 29333
\begin{array}{l}\phantom{170)}0017\phantom{8}\\170\overline{)29333}\\\phantom{170)}\underline{\phantom{}170\phantom{99}}\\\phantom{170)}1233\\\phantom{170)}\underline{\phantom{}1190\phantom{9}}\\\phantom{170)99}43\\\end{array}
Find closest multiple of 170 to 1233. We see that 7 \times 170 = 1190 is the nearest. Now subtract 1190 from 1233 to get reminder 43. Add 7 to quotient.
\begin{array}{l}\phantom{170)}0017\phantom{9}\\170\overline{)29333}\\\phantom{170)}\underline{\phantom{}170\phantom{99}}\\\phantom{170)}1233\\\phantom{170)}\underline{\phantom{}1190\phantom{9}}\\\phantom{170)99}433\\\end{array}
Use the 5^{th} digit 3 from dividend 29333
\begin{array}{l}\phantom{170)}00172\phantom{10}\\170\overline{)29333}\\\phantom{170)}\underline{\phantom{}170\phantom{99}}\\\phantom{170)}1233\\\phantom{170)}\underline{\phantom{}1190\phantom{9}}\\\phantom{170)99}433\\\phantom{170)}\underline{\phantom{99}340\phantom{}}\\\phantom{170)999}93\\\end{array}
Find closest multiple of 170 to 433. We see that 2 \times 170 = 340 is the nearest. Now subtract 340 from 433 to get reminder 93. Add 2 to quotient.
\text{Quotient: }172 \text{Reminder: }93
Since 93 is less than 170, stop the division. The reminder is 93. The topmost line 00172 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 172.
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}