Evaluate
29
Factor
29
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\begin{array}{l}\phantom{321)}\phantom{1}\\321\overline{)9309}\\\end{array}
Use the 1^{st} digit 9 from dividend 9309
\begin{array}{l}\phantom{321)}0\phantom{2}\\321\overline{)9309}\\\end{array}
Since 9 is less than 321, use the next digit 3 from dividend 9309 and add 0 to the quotient
\begin{array}{l}\phantom{321)}0\phantom{3}\\321\overline{)9309}\\\end{array}
Use the 2^{nd} digit 3 from dividend 9309
\begin{array}{l}\phantom{321)}00\phantom{4}\\321\overline{)9309}\\\end{array}
Since 93 is less than 321, use the next digit 0 from dividend 9309 and add 0 to the quotient
\begin{array}{l}\phantom{321)}00\phantom{5}\\321\overline{)9309}\\\end{array}
Use the 3^{rd} digit 0 from dividend 9309
\begin{array}{l}\phantom{321)}002\phantom{6}\\321\overline{)9309}\\\phantom{321)}\underline{\phantom{}642\phantom{9}}\\\phantom{321)}288\\\end{array}
Find closest multiple of 321 to 930. We see that 2 \times 321 = 642 is the nearest. Now subtract 642 from 930 to get reminder 288. Add 2 to quotient.
\begin{array}{l}\phantom{321)}002\phantom{7}\\321\overline{)9309}\\\phantom{321)}\underline{\phantom{}642\phantom{9}}\\\phantom{321)}2889\\\end{array}
Use the 4^{th} digit 9 from dividend 9309
\begin{array}{l}\phantom{321)}0029\phantom{8}\\321\overline{)9309}\\\phantom{321)}\underline{\phantom{}642\phantom{9}}\\\phantom{321)}2889\\\phantom{321)}\underline{\phantom{}2889\phantom{}}\\\phantom{321)9999}0\\\end{array}
Find closest multiple of 321 to 2889. We see that 9 \times 321 = 2889 is the nearest. Now subtract 2889 from 2889 to get reminder 0. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }0
Since 0 is less than 321, stop the division. The reminder is 0. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.
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}